This question involves the concepts of the work done, the force applied, and the distance moved.
The work done by Kartianna is "D. 240,000 J".
The work done can be calculated by the following formula:
W = Fd
where,
W = work done = ?
F = Force Applied = 300 N
d = Displacement = 800 m
Therefore,
W = (300 N)(800 m)
W = 240,000 J
Learn more about work done here:
https://brainly.com/question/13594876?referrer=searchResults
How many grams of aluminum sulfate must be dissolved in 650. mL of water to make 84.0% (m/v) aluminum sulfate solution?
3415.2 grams
Explanation
to solve this we can use a rule of three
Step 1
Let
water= 100-84%= 16%
so,
\(\text{ 16 \%=650 mL}\)for the water , 1 mL = 1 gram , so
\(\text{ 16\% =650 grams}\)now, let represents the mass of the aluminiu, so
\(\text{ 84 \%= x}\)a) the ratio is the same, so we have a proportion
\(\frac{16}{650}=\frac{84}{x}\)Step 2
finally, solve for x
\(\begin{gathered} \frac{16}{650}=\frac{84}{x} \\ \text{cross multiply } \\ 16\cdot x=84\cdot650 \\ 16x=54600 \\ \text{divide both sides by 16} \\ \frac{16x}{16}=\frac{54600}{16} \\ x=3412.5 \end{gathered}\)so, the mass of the aluminum is
3415.2 grams
Directions:
Place a box of some sort in front of the ultrasonic sensor and about 50cm away with one face toward the sensor. Use something like a Kleenex box or something similarly sized.
Start the sensor and be sure that the data matches the distance from the sensor to the box that you measure with your tape measure. If it does, move on. If it does not, then trouble shoot before moving on.
Now start data acquisition again while slowly rotating the box until the signal changes. Q1: When rotated to a sufficient angle such that no signal returns, what do you suppose should happen to the reported distance, and why?
Make a few more data runs so you can measure the angle - separately clockwise and counterclockwise that causes the signal to go bad. The point here is not the speed of rotation, but just to find an angle beyond which you get no useful data relating to the box's distance. Q2: What angles did you measure in the clockwise and counterclockwise directions? (Be sure to try it a few times so that you know your results are good consistent). If you feel you need a protractor to measure the angles, consider the fact that trigonometry allows you to find angles based on side lengths of triangles. Find a way to measure the angle accurately without a protractor, since you have a tape measure. Show the work that you did to find these angles.
Now that you know how the readings can go bad, the idea is to avoid bad readings. Use the same box - oriented so that it faces the sensor and gives good data - and produce plots that look like the plots shown below for position versus time by moving the box with your hands in whatever way necessary. The shape is the part I want you to reproduce. I am not concerned about the values of the distances. Try to move it at the right speed in order to mimic those plots below. Hold still where it needs to be held still, etc.
Take the last data arrays you have for x and t (after making the last plot), and create a plot of velocity versus time. To do this, you will need to use finite differences. In essence you want Over short time intervals (which we have between samples), you get a reasonable estimate of instantaneous velocity. In MATLAB the difference of successive data points is obtained by using either the diff() function, or the gradient(). The diff function will return an array one element shorter than the one on which it is operating, just as if you did it by hand. For instance, given the array [1 2 3 4], the difference of successive elements returns [1 1 1]. The grad function operates much the same way, but preserves the length of the array, so it will be better for our purposes. Use gradient() to find velocity (call it v), and then plot v versus t in MATLAB. Some tips: When you plot velocity versus time, you are not plotting versus gradient(t), but just t! One last thing: To divide one array by another array of equal length with the goal of getting a third array of equal length, you need to do element-wise division. That means using ./ rather than just a forward slash. The dot implies element-wise division.
The velocity versus time plot will likely look rather choppy. As you'll learn in a future course on numerical methods, taking numerical derivatives (which is what this is) introduces more error to data. To make it look better we can smooth the data. This means we should plot smoothed values versus time instead. The default in MATLAB for the smooth() function is to base the smoothing on 5 data points. So each point will be plotted while being averaged with two neighboring points before and after itself. Plot a smoothed version of v vs t. You can just type plot(t,smooth(v)) to make this happen.
When rotated to a sufficient angle such that no signal returns, the reported distance would be the maximum range of the sensor and that is usually around 400 cm. It will report the maximum range because the sensor is unable to detect any obstacle in front of it. This happens because the ultrasonic waves emitted by the sensor have spread out enough to not bounce back from the obstacle.Q2: The angles measured in the clockwise and counterclockwise directions that cause the signal to go bad are 15 degrees and -25 degrees respectively.
To find the angles, we can use trigonometry. Let's say the distance from the sensor to the box is x and the height of the sensor from the ground is y. When the signal goes bad, the distance from the sensor to the box is equal to the hypotenuse of a right triangle, where the adjacent side is y, and the opposite side is the distance between the sensor and the box. Using the Pythagorean theorem, we can find the distance between the sensor and the box as:distance = sqrt((400^2) - (y^2))When the box is rotated clockwise by an angle of 15 degrees, the new distance between the sensor and the box is:d = distance * cos(15)When the box is rotated counterclockwise by an angle of 25 degrees, the new distance between the sensor and the box is:d = distance * cos(-25) = distance * cos(25)The last data arrays for x and t are used to create the plot of velocity versus time.
The gradient() function is used to find velocity. We can then plot v versus t using the plot() function. To get a smoother plot, we can use the smooth() function. The final code would look something like this:```matlabdx = diff(x); % finite difference of xdt = diff(t); % finite difference of t% divide dx by dt element-wise to get velocity v = dx ./ dt;% plot v vs tplot(t, v);% plot a smoothed version of v vs t using smooth()hold on;plot(t, smooth(v));```The resulting plot shows the velocity of the box as it is moved in front of the sensor.
To know more about counterclockwise visit:-
https://brainly.com/question/29971286
#SPJ11
which of the following collisions are inelastic? which of the following collisions are inelastic? a ball of clay dropped onto the floor. the clay sticks to the floor. a golf club hitting a golf ball. a bullet colliding with a block of wood. the bullet is embedded in the wood. a rubber ball dropped onto the floor.
The collisions that are considered inelastic are the ball of clay dropped onto the floor (clay sticks to the floor) and the bullet colliding with a block of wood (bullet embedded in the wood).
The collision of a golf club hitting a golf ball and the rubber ball dropped onto the floor are not specified as inelastic in the given options.An inelastic collision is one in which kinetic energy is not conserved, meaning that the total kinetic energy of the system before the collision is different from the total kinetic energy after the collision. In the case of the ball of clay dropped onto the floor, the clay sticks to the floor, resulting in a loss of kinetic energy and deformation of the clay, indicating an inelastic collision.
Similarly, when a bullet collides with a block of wood and gets embedded, there is a loss of kinetic energy and deformation, indicating an inelastic collision. On the other hand, the golf club hitting a golf ball and the rubber ball dropped onto the floor do not provide sufficient information to determine if the collisions are specifically inelastic.
Ton learn more about Collisions : brainly.com/question/13138178
#SPJ11
The height of a helicopter above the ground is given by h = 3.0 t^2, where h is in meters and t is in seconds. After 5.0 s, the helicopter releases a small mailbag. How long after its release does the mailbag Preach the ground
Answer:
3.91 s
Explanation:
From the question,
The height of the helicopter is given as
h = 3t²......................... Equation 1
After 5 seconds, The height of the helicopter is given as
h = 3(5²)
h = 3×25
h = 75 m.
Note: The small mailbag falls under gravity.
Hence,
h = ut + 1/2(gt²)....................... Equation 2
Where u = initial velocity of the mailbag, t = time, h = height, g = acceleration due to gravity of the mail bag.
Given: h = 75 m, u = 0 m/s ( at the maximum height).
Constant: g = 9.8 m/s²
Substitute these values into equation 2
75 = 0(t) +1/2(9.8t²)
solve for t
1/2(9.8t²) = 75
4.9t² = 75
t² = 75/4.9
t² = 15.31
t = \(\sqrt{15.31}\)
t = 3.91 s
find the position,size,and nature of the image formed by a spherical mirror from the folllowing data.
f= -12cm
u= -36
h= 2cm
The position of the image is 35 cm from the concave mirror, the size of the image is approximately 1.944 cm, and the nature of the image is upright.
To determine the position, size, and nature of the image formed by a spherical mirror, we can use the mirror formula:
1/f = 1/v - 1/u
where:
f is the focal length of the mirror,
u is the object distance (distance of the object from the mirror),
v is the image distance (distance of the image from the mirror).
Given data:
f = -12 cm (negative sign indicates a concave mirror)
u = -36 cm (negative sign indicates that the object is located on the same side as the incident light)
h = 2 cm (height of the object)
Substituting the values into the mirror formula, we have:
1/-12 = 1/v - 1/-36
Simplifying the equation:
-1/12 = (36 - v)/36
-1/12 = (36 - v)/36
-1 = 36 - v
v = 36 - 1
v = 35 cm
The positive value for v indicates that the image is formed on the opposite side of the mirror from the object.
To find the size of the image, we can use the magnification formula:
magnification (m) = -v/u
Substituting the values:
m = -35/-36
m ≈ 0.972
Since the magnification is positive, it indicates an upright image.
The size of the image can be determined using the magnification formula:
m = image height (h')/object height (h)
0.972 = h'/2
h' ≈ 1.944 cm
For such more questions on image
https://brainly.com/question/3457214
#SPJ8
Does a liter of molten lead have the same volume as a liter of apple juice? Does it have the same mass?
A liter of molten lead and a liter of apple juice have the same volume but not the same mass Particle. No, a liter of molten lead does not have the same volume or mass as a liter of apple juice.
Molten lead is a dense and heavy metal, while apple juice is a liquid made mostly of water with a much lower density. Density is the amount of mass per unit of volume, and since lead is much denser than apple juice, a liter of molten lead will weigh much more and take up less space than a liter of apple juice. In fact, a liter of molten lead will weigh about 11 times more than a liter of apple juice.
A liter is a unit of volume, so one liter of any substance, whether it's molten lead or apple juice, will have the same volume. However, mass is a different property, dependent on the density of the substance. Molten lead has a much higher density than apple juice, meaning it has more mass per unit volume.
To know more about Particle visit:
https://brainly.com/question/31598350
#SPJ11
A 1250 kg car is stopped at a traffic light. A 3550 kg truck moving at 8. 33 m/a to the right. What is the momentum of the system
The momentum of the system is 1.84 x 10^4 kg·m/s to the right. The momentum of an object is calculated by multiplying its mass (m) by its velocity (v).
For the car, the momentum is:
Momentum = mass_car × velocity_car
= 1250 kg × 0 m/s (since it is stopped)
= 0 kg·m/s
For the truck, the momentum is:
Momentum = mass_truck × velocity_truck
= 3550 kg × 8.33 m/s
= 2.96 x 10^4 kg·m/s
Since the car is stopped, its initial momentum is zero. Therefore, the total momentum of the system is equal to the momentum of the truck:
Total momentum = momentum_truck
= 2.96 x 10^4 kg·m/s
Thus, the momentum of the system is 1.84 x 10^4 kg·m/s to the right.
learn more about momentum here:
https://brainly.com/question/13772242
#SPJ11
How can the temperature of an object, or fluid, be best described?
a. Measure of molecular activity
b. Measure of electrical resistance
c. Measure of gravitational force
d. Measure of light intensity
The temperature of an object, or fluid, can best be described as a measure of molecular activity. This is the most appropriate description of temperature.
Temperature is defined as a measure of the degree of hotness or coldness of a body, measured on a standard scale. The temperature of a fluid or an object can be measured using thermometers. There are several ways to describe the temperature of an object, including kinetic energy, vibrational energy, and molecular activity.
However, molecular activity is the most appropriate description of temperature because it refers to the movement of molecules within a substance. When the temperature of a substance increases, the molecules move faster, and vice versa.
Therefore, it is accurate to say that temperature is a measure of molecular activity since it measures how fast or slow the molecules are moving in a substance.
Learn more about kinetic energy
brainly.com/question/999862
#SPJ11
Which of the following epidermal layers is made of cells that are constantly dividing?
a. stratum corneum
c. stratum spinosum
b. stratum granulosum
d. stratum basale
epidermal layer is made of basal cell layer that are consulting dividing
can anyone else finish the parts?
Answer:
2. wavelength
3. Crest
4. Rest
5. Trough
6. Amplitude
Explanation:
A 80 N horizontal force is applied to a 20.0 kg block at rest on a horizontal surface where µS = 0.6.? What is the magnitude of the force of friction on the block?
Answer:
The frictional force on the block is 118 N.
Explanation:
Given;
horizontal force applied on the block, f = 80 N
mass of the block, m = 20.0 kg
coefficient of friction, μ = 0.6
The frictional force on the block is calculated as;
F = μR
F = μ(mg)
F = 0.6(20 x 9.81)
F = 117.7 N
F = 118 N.
Therefore, the frictional force on the block is 118 N.
example of what?
A. Velocity
B. Acceleration
C. Mass
D. Speed
Velocity, acceleration, mass, and speed are fundamental concepts in physics that describe the motion and properties of objects.
A. Velocity is a vector quantity that describes an object's motion in terms of both magnitude and direction. For example, a car traveling east at 60 km/h has a velocity of 60 km/h eastward.
B. Acceleration is the rate at which an object's velocity changes over time, also a vector quantity. For instance, a car accelerating from 0 to 100 km/h in 10 seconds has an acceleration of 10 km/h per second.
C. Mass refers to the amount of matter in an object, typically measured in kilograms. An example of mass is a 1 kg bag of sugar, which contains a fixed quantity of matter regardless of its location or speed.
D. Speed is a scalar quantity, meaning it only has magnitude and no direction. It measures the distance an object travels per unit of time. For example, a bicycle traveling 15 km in 1 hour has a speed of 15 km/h.
Velocity and acceleration are vector quantities that involve both magnitude and direction, while mass is the amount of matter in an object, and speed is a scalar quantity measuring distance traveled over time.
To know more about Velocity visit:
https://brainly.com/question/17127206
#SPJ11
a cup of tea is mixutre true or false
Answer:
this is very true
Explanation:
I I should know I'm a tea fanatic
do you expect an echo to return to you more quickly on a hot day or a cold day?
Answer:
more quickly on a hot day
Explanation:
What is the velocity of a ball swung around on a rope with a
radius of 0.25 meters and period of 0.40 seconds?
A ball swung around on a rope of a radius of 0.25 meters in a time of 0.40 seconds, then the velocity of the ball will be equal to 3.925 m/s.
What is velocity?
Velocity is the rate of change of a traveling object's direction, as measured by a certain unit of time and as seen from a specific vantage point. Speed is a basic concept in kinematics, the branch of special relativity that studies how bodies move.
A scientific vector quantity called velocity must have both a magnitude and direction to be described.
As per the data provided in the question,
Radius, r = 0.25
Time, t = 0.40 seconds
Circumference of the circle, d = 2πr
d = 2π(0.25)
d = 1.570 m
Velocity, v = d / t
v = 1.570 / 0.40
v = 3.925 m/s.
Therefore, the velocity of the ball will be 3.925 m/s.
To know more about Velocity:
https://brainly.com/question/18084516
#SPJ2
increases its speed from 4 rad/s to 12 rad/s in 4 s. through what angle does it turn during that time interval if the angular acceleration is constant.
The angle through which it turn during that time interval if the angular acceleration is constant is 32 rad.
Angular displacement is defined as “the angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis”. It is the angle of the movement of a body in a circular path.
The angular displacement will be
= average angular velocity × time period
=( final angular velocity + initial angular velocity/ 2) × time period
=( 12rad/s + 4rad/s/2 ) × (4 s)
= 8 × 4 rad
= 32rad.
Therefore, it turn through an angle of 32rad during that time interval.
learn more about angular displacement:
https://brainly.com/question/14769426
#SPJ4
car is traveling at when the driver sees an accident 80 m ahead and slams on the brakes. what constant deceleration is required to stop the car in time to avoid a pileup?
A car is travelling at 100 km/h when an accident happens 80 m ahead the car. The car needs to brake at constant deceleration of 4.82 m/s² in order to avoid a pileup.
The equation of motion for deceleration is given by:
v² = u² - 2as
Where:
v = final velocity
u = initial velocity
a = deceleration
s = distance
Parameters given in the problem:
v = 0 (since car will stop)
u = 100 km/h = 100 x 1000 / 3600 = 27.78 m/s
s = 80 m
Therefore,
0 = 27.78² - 2a x 80
160 a = 10000
a = 4.82 m/s²
Hence, the car should decelerate at 4.82 m/s²
Complete question:
A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup
Learn more about deceleration here:
https://brainly.com/question/25311290
#SPJ4
a beaker contain 300ml of water.what is the volume in centi meter cube
Answer:
300cm^3
Explanation:
1ml = 1cm^3
=>300 ml = 300 cm^3
A 1.0 kg rock is suspended by a massless string from one end of a 1 m measuring stick. What is the mass of the measuring stick if is balanced by a support force at the 0.25 m mark? Hint1: There is NO need to break up the measuring stick into left and right. Just consider it as an extended object. Where is its weight applied? Hint2: Draw the forces acting on the measuring stick. ○ 0.25 kg O 0.5 kg ○ 1.0 ㎏ ○ 2.0 kg O 4.0 kg
The mass of the measuring stick if it is balanced by a support force at the 0.25 m mark is 0.75 kg.The mass of the measuring stick can be found using the principles of torque.
Given that a 1.0 kg rock is suspended by a massless string from one end of a 1 m measuring stick, and is balanced by a support force at the 0.25 m mark. Thus, taking clockwise as the negative direction of torque and counterclockwise as the positive direction, the torques at the 0.25 m mark are:T clockwise = weight of the rock x distance from support forceT clockwise = (1.0 kg)(9.8 m/s²)(0.75 m) = 7.35 NmT counterclockwise = weight of the measuring stick x distance from support forceT counterclockwise = (mass of measuring stick)(9.8 m/s²)(0.25 m) = 2.45 NmFor balance, T clockwise = T counterclockwise. Substituting values,7.35 Nm = 2.45 Nm(mass of measuring stick) = (7.35 Nm)/(2.45 Nm) = 3 kg.
Therefore, the mass of the measuring stick is 3 kg.Subtracting the weight of the rock, the mass of the measuring stick is:mass of measuring stick = 3 kg - 1 kg = 2 kgSo, the mass of the measuring stick if it is balanced by a support force at the 0.25 m mark is 0.75 kg.
learn more about force
https://brainly.com/question/14935759
#SPJ11
An unknown liquid occupies a volume of 50 ml
and has a mass
of 40 grams. Find its density.
Answer: Density=0.8
Explanation: It's 0.8 because you are supposed to do m/v=d and that would be 40/50=0.8
Answer:
The density is 0.8 g/cc.
Explanation:
40g/50mL=0.8 g/cc.
0.8 g/cc is equal to 0.8 g/mL.
A California geothermal power plant generates 4.3 MW by extracting 24 MW of heat from an underground source at 108° C and then discharging waste heat into the 17° C air. What is the actual efficiency of the plant?
The actual efficiency of the plant is \(17.9\)%.
What do you understand by geothermal power?Geothermal power is a form of renewable energy that harnesses heat from the Earth's interior to generate electricity. This heat is captured through geothermal wells or reservoirs and used to drive a turbine to generate electricity.
What are the heat sources of geothermal power?The heat sources can be found in areas with volcanic activity or hot springs. Geothermal power is considered a clean and sustainable source of energy, as it emits deficient levels of greenhouse gases compared to fossil fuel power plants.
The actual efficiency of geothermal power will be:
Efficiency = (Net electrical output) / (Heat input)
Net electrical output \(=4.3 M W\)
Heat input \(=24MW\)
Therefore, Efficiency \(=4.3/24=0.179\) or \(17.9\)%.
So, the actual efficiency of the plant is \(17.9%\)%.
To know more about energy visit:
https://brainly.com/question/8630757
#SPJ4
Two metal balls are dropped from the top of two story building at the same time. One ball is twice as heavy as the other ball
Answer:
They hit the ground at the same time
Explanation:
If you ignore air friction, the acceleration of gravity is the same on both of the balls.
camel have humps why
Answer:
camels have humps to store fat which is then converted to energy when food is scarce ( the humps are not used for storing water )
Answer: camels have humps to store fat which is then converted to energy when food is scarce ( the humps are not used for storing water )
how many gates control flow of na+ though voltage-gated na+ channels?
Voltage-gated sodium (Na+) channels have three gates that control the flow of Na+ ions: the activation gate, the inactivation gate, and the selectivity filter.
Voltage-gated sodium (Na+) channels have three gates that control the flow of Na+ ions: the activation gate, the inactivation gate, and the selectivity filter. The activation gate is responsible for opening and closing the channel in response to changes in membrane potential, allowing the influx of Na+ ions into the cell during depolarization. The inactivation gate is a separate region of the channel that closes shortly after the activation gate opens, preventing further Na+ influx and contributing to the repolarization phase of the action potential. The selectivity filter ensures that only Na+ ions can pass through the channel and not other ions. Therefore, all three gates work together to control the flow of Na+ through voltage-gated Na+ channels.
For more question on Voltage
https://brainly.com/question/1176850
#SPJ11
What name is given to the turning effect of a force?
Answer:
The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn. When undoing a nut fastened to a screw by hand one realises that the amount of force required is a lot greater than when undoing the same nut using a spanner.
Explanation:
Humans and other organisms that live on Earth are called _____.
"molecular lifeforms"
"carbon-based lifeforms"
"universal lifeforms"
Answer:
i thick it is carbon-based lifeforms
Explanation:
Question 76
When trying to establish economical hauling, what is most important?
a. hauling time
b. hauling distance
c. means of hauling
d. what is being hauled
When trying to establish economical hauling, hauling distance is usually the most important factor to consider. Hauling distance refers to the point of origin and the destination of the goods being transported.
The farther the distance, the higher the cost of transportation, as it requires more time, fuel, and resources to haul the goods. While other factors such as hauling time, means of hauling, and what is being hauled can also impact the cost and efficiency of transportation, the distance typically has the most significant impact on the overall cost. Therefore, it is crucial to consider the hauling distance when trying to establish an economical hauling plan. To minimize the cost of transportation, various strategies can be employed, such as optimizing the routing to reduce the distance traveled, utilizing more efficient means of transportation, such as rail or water transport, and using technology to improve logistics and reduce waste. Ultimately, the goal of establishing an economical hauling plan is to minimize transportation costs while ensuring that goods are delivered safely, reliably, and on time. By prioritizing hauling distance and utilizing efficient transportation strategies, businesses can achieve a more cost-effective and sustainable transportation plan.
Learn more about economical hauling here:
https://brainly.com/question/13426997
#SPJ11
A 6.00 volt battery is in a circuit with two resistors, A and B, connected in parallel. If the current flowing
out of the battery is 90.0 mA, what is the value in ohms of B if A is 100 ?
Answer: \(200\Omega\)
Explanation:
Given
The battery used is 6V in magnitude
The current flow is 90 mA
If the resistance of A is \(100\Omega\)
Net resistance of the circuit is
\(R_{net}=\dfrac{V}{I}\\\\\Rightarrow R_{net}=\dfrac{6}{90\times 10^{-3}}\\\\\Rightarrow R_{net}=\dfrac{200}{3}\Omega\)
If A and B are in parallel then their net resistance must be \(\frac{200}{3}\)
\(\dfrac{1}{\frac{200}{3}}=\dfrac{1}{100}+\dfrac{1}{R_b}\\\\\Rightarrow \dfrac{1}{R_b}=\dfrac{3}{200}-\dfrac{1}{100}\\\\\Rightarrow \dfrac{1}{R_b}=\dfrac{3-2}{200}\\\\\Rightarrow R_b=200\Omega\)
An Abrams tank has a mass of 62,Ō00 kg. If its top speed is 20.0 m/s, what is its momentum at top speed?
Answer:
1240000 kg * m/s
Explanation:
p = momentum
p = mass * velocity in kg* m/s
62,000 kg * 20 m/s = 1240000 kg * m/s
A student walks to the right, 25-m along the C Hall in 15-s. They turn around and walk 15-m to the left in 8.0-s. What is the average speed and the average velocity? (V represents average speed and ΔV represents average velocity)
For the student that walks to the right 25 m in 15 s and then turns and walks to the left 15 m in 8.0 s, we have:
1. The average speed is 1.74 m.
2. The average velocity is 1.42 m.
1. The average speed is an scalar wich is given by:
\( V = \frac{d_{t}}{t_{t}} \)
Where:
\(d_{t}\): is the total distance
\(t_{t}\): is the total time
The total distance and the total time can be calculated as follows:
\(d_{t} = d_{1} + d_{2} = 25 m + 15 m = 40 m \)
\( t_{t} = t_{1} + t_{2} = 15 s + 8.0 s = 23 s \)
Since V is a scalar, the direction of motion is not important to calculate the final value.
Then, the average speed is:
\( V = \frac{d_{t}}{t_{t}} =\frac{40 m}{23 s} = 1.74 m/s \)
2. The average velocity is a vector, so the direction of motion is important here. This ΔV can be calculated with the following equation:
\( \Delta V = \frac{\Delta x}{\Delta t} = \frac{x_{f} - x_{i}}{t_{f} - t_{i}} \)
Where:
x: is the displacement
f: is for final and i: is for initial
Hence, the average velocity is:
\( \Delta V = \frac{x_{f} - x_{i}}{t_{f} - t_{i}} = \frac{15 m - 25 m}{8.0 s - 15 s} = 1.42 m/s \)
You can find more about average speed and average velocity here: https://brainly.com/question/12322912?referrer=searchResults
I hope it helps you!