The reactance of the well-insulated capacitor is approximately 2786.3 ohms.
To determine the reactance of a capacitor connected to a power line, we can use the formula:
Reactance (Xc) = 1 / (2 * π * f * C)
where Xc is the capacitive reactance in ohms, f is the frequency in hertz, and C is the capacitance in farads.
In this case, the capacitance is given as 0.068 μf or 0.068 x 10⁻⁶ F. The frequency is given as 840 Hz.
So, plugging in these values, we get:
Xc = 1/(2π x 840 x 0.068 x 10⁻⁶)
Xc ≈ 2786.3 ohms
Therefore, the reactance of the well-insulated 0.068 μf capacitor connected to a 2.4 kV (rms) 840 Hz line is approximately 2786.3 ohms.
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A student starts at x = -3 km (negotive 3 km and walks at a constant speed of 4.5 km/hr for 1.8 hrs. What is her position at 1.2 hrs? Why is this value different than her distance traveled? State any assumptions made in your calculations.
Answer:
See below
Explanation:
Assuming walking in positive direction
-3 km + 4.5 km/hr * 1.8 hr = + 5.1 km
Her distance traveled includes the start from -3 to 0 point then to +5.1
distance traveled = 3 + 5.1 = 8.1 km
how much work does an elevator motor do to lift a 1300 kg elevator a height of 200 m ?
The work done by the elevator motor to lift the elevator is given by:
W = mgh
where m is the mass of the elevator, g is the acceleration due to gravity, and h is the height the elevator is lifted.
Plugging in the given values, we get:
W = (1300 kg) x (9.81 \(m/s^2\)) x (200 m) = 2.54 x \(10^6 J\)
Therefore, the elevator motor does 2.54 x \(10^6\) Joules of work to lift the 1300 kg elevator a height of 200 m.
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A 400kg hollow steel flywheel energy storage with 2m outer diameter and a thickness of 225mm spins at 6000rpm. with 80fficiency, how long it will support 100kw load?
t = 497.2 sec
outer diameter, Do=2a
thickness, t= 0.225m. Inner diameter, Di= 2-2*0.225
= 1.55m
mean Radius = 0.8975m.
I= moment of inertia of flywheel
= 400 * (0.8875)^2
=315.0625 kgm^2
w = 200 π rad/s
K.E of flywheel = 1/2 Iw^2
= 62190844.73 joule
= 100x10^3*t ÷ 0.8
t = 497.2 sec
moment of inertia is the tendency of a body to resist rotation or angular motionthe moment of inertia depend on he mass of the object and the way the mass is distributed relative to the axis of rotationinertia is the tendency to resist motion moment of inertia is a inertial propertyTo know more about moment of inertia visit : https://brainly.com/question/15246709
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An electron travels due north through a vacuum in a region of uniform magnetic field 4 that is also directed due north. It will: A.be unaffected by the field B.speed up C.slow down D.follow a right-handed corkscrew path E.follow a left-handed corkscrew path
An electron travels due north through a vacuum in a region of uniform magnetic field 4 that is also directed due north. It will: be unaffected by the field.
What is electron?Electron is an open source library developed by GitHub that allows for the development of cross-platform desktop applications using web technologies such as HTML, JavaScript, and CSS. Electron applications are built with web technologies but have access to native operating system functionalities such as file system access and native notifications. Electron applications can be distributed through the Mac App Store, Windows Store, and Linux distributions such as Ubuntu and Fedora. Electron applications are designed to work on multiple platforms and provide a single codebase for developers looking to develop applications for multiple platforms. Electron applications are fast, secure, and user friendly, providing users with an intuitive interface and a seamless experience. Electron is a powerful tool for creating native applications that can be used on multiple platforms.
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A long, horizontal wire Ab rests on the surface of a table and carries a current I. A horizontal wire CD is vertically above wire AB , and is free to slide up and down on the two vertical metal guides C and D ( as shown in Fig) .Wire CD is connected through the sliding contacts to another wire that also carries a current I , opposite in direction to the current in wire AB . The mass per unit length of the wire CD is λ. To what equilibrium height h will the wire CD rise. assuming that magnetic force on it is wholly due to current in wire AB ?
The equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg
What is magnetic field ?A region in which the force of magnetism acts is known as the magnetic field, and it surrounds magnetic materials or a moving electric charge. Moving magnetic dipoles and electric charges produce a magnetic field, which acts as a force field on other nearby magnetic dipoles and moving charges.
Magnetic field at a distance h produced by a current carrying wire
B = μ₀I/ 2πh
Magnetic force due to the present current carrying wire can be calculated by the formula
F = B I L
And we also know that F = mg
On equating these mg = B I L
( μ₀I/ 2πh ) I = ( m/ I ) g = λg
thus we get the value of h as
h = μ₀I² / 2π λg
Thus, the equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg .
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a 5.0 kg object is moved at 16m/s when a 2 N force is applied opposite to the direction of the objects motion causing it to slow down to 12 m/a.How long was this force applied?
\(\frak{\pink{Given}}\begin{cases}\textsf{ Mass of an object is 5kg.}\\\textsf{ A force of 2N is applied}\\\textsf{ It slows down to 12m/s from 16m/s.} \end{cases}\)
And we need to find out the time during which the force was applied. As we know that the rate of change of momentum is directly proportional to the applied force in the dirⁿ of the force , where the value of constant is 1. So ,
\(\longrightarrow\) F = ∆p/t
\(\longrightarrow\) F = m (v - u)/t
Here the force will be negative since the direction of motion is opposite to the direction of the force .\(\longrightarrow\) -2N = 5kg ( 12-16)/t
\(\longrightarrow\) t = -2 * -4 /5 s
\(\longrightarrow\) t = 8/5 s
\(\longrightarrow\) t = 1.6 s
Hence the required answer is 1.6sA certain lever system is only 30% efficient. The following changes are considered:
change 1: Use a stiffer lever to reduce energy lost bending the lever.
change 2: Make a longer lever that will require less force.
Which change would make the lever more efficient?
Change 1 would make the lever more efficient because less energy would be lost.
Change 2 would make the lever more efficient because this would make it easier to lift.
Change 1 would make the lever more efficient because this would make it easier to lift.
Change 2 would make the lever more efficient because less energy would be lost.
Answer: Change 2 would make the lever more efficient because this would make it easier to lift.
Explanation:
The considered change is: Make a longer lever that will require less force because it would make the lever more efficient because this would make it easier to lift.
What is lever?A beam is pivoted at a fixed fulcrum, to form a simple machine known as a lever. A body that can rotate about a point on itself is called a lever.
The lever is classified into three types based on where the fulcrum, weight, and effort are located. Additionally, leverage is a systemic mechanical advantage.
One of the six simple devices that Renaissance scientists identified. Leverage is the ability to increase an input force into a bigger output force through the use of a lever. The mechanical advantage of the lever is determined by the ratio of output force to input force.
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2.Cars were previously manufactured to be as sturdy as possible, whereas today's cars
are designed to crumple upon impact. Why?
Answer:
Crumple zones are designed to absorb and redistribute the force of a collision. ... Also known as a crush zone, crumple zones are areas of a vehicle that are designed to deform and crumple in a collision. This absorbs some of the energy of the impact, preventing it from being transmitted to the occupants.
we know how fast a star in the galaxy is moving away from us on the basis of its spectrum. mass. luminosity. age. color.
true/false
We cannot determine the speed at which a star in the galaxy is moving away from us based on its mass, luminosity, age, or color alone. it is false
The speed at which a star in the galaxy is moving away from us is determined through the measurement of its spectrum using a technique known as redshift.
When a star or galaxy moves away from us, its light is shifted towards longer wavelengths, resulting in a redshift. By analyzing the degree of redshift, astronomers can estimate the speed at which the star is receding.
However, factors such as mass, luminosity, age, and color do not provide direct information about the star's motion away from us.
These characteristics are important for studying other properties of stars, such as their composition, brightness, evolutionary stage, and temperature. To determine the motion of a star in the galaxy, redshift measurements are essential.
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a bicycle wheel with radius 0.3 m rotates from rest to 3.1 rev/s in 5.7 s. what is the magnitude (in m/s2) of the total acceleration vector at the edge of the wheel at 1.2 s?
The magnitude of the total acceleration vector at the edge of the wheel at 1.2 s is 5.22 m/s².
Given that,
Radius of the wheel = 0.3 m
Initial angular velocity ω₀ = 0
It rotates 3.1 rev/s in 5.7s. Therefore, ω = 2*π*r = 2*π* 3.1 = 19.47 rad/s
We know that, ω = ω₀ + αt
where, α = angular acceleration
ω = Final angular velocity
t = time
α = 19.47/5.7 = 3.42 rad/s²
Total acceleration at any point will be a vector sum of tangential acceleration and centripetal acceleration
ω = ω₀ + αt
ω = 0 + 3.42* 1.2 = 4.11 rad/s
αc = ω² * r = 4.11² * 0.3 = 5.07 m/s²
Tangential acceleration αt = α * r
αt = 4.11 * 0.3 = 1.23 m/s²
α net = √(5.07² + 1.23²) = √(25.7049 + 1.5129) = 5.22 m/s²
Thus, the magnitude of total acceleration vector at the edge of the wheel is 5.22 m/s².
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Explain water changes to ice in term of kinetic theory
Kinetic energy is added to the particles as the ice melts into water. This makes them 'excited,' and they break the bonds that hold them together as a solid, resulting in a state change: liquid -> solid
What is a change of state?State alterations are physical changes in matter. They are reversible modifications that do not entail changes in the chemical constitution or characteristics of matter.
What are the five examples of state change?
Evaporation, condensation, freezing, melting, sublimation, and deposition are all processes.
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Which of these features is true of both solar and wind power? a. Intermittent power source that requires a backup energy source b. Produces no greenhouse gas emissions during normal operation c. Supplies a small fraction of global energy demand, but is increasing rapidly d. All of these are correc
The feature that is true of both solar and wind power is (b) Both power sources produce no greenhouse gas emissions during normal operation.
This makes them a more environmentally friendly alternative to traditional fossil fuels, which emit carbon dioxide (CO2) and other harmful gases during combustion.
However, the other options are not completely accurate. Solar and wind power can be intermittent, but this does not necessarily mean that they require a backup energy source. Energy storage technologies, such as batteries or pumped hydro storage, can be used to store excess energy generated during times of high production and release it during times of low production.
Furthermore, while solar and wind power currently supply a small fraction of global energy demand, it is important to note that their usage is increasing rapidly. In fact, renewable energy sources, including solar and wind power, are projected to be the fastest-growing energy source over the next few decades.
In conclusion, solar and wind power's most significant shared feature is their ability to operate without producing greenhouse gas emissions. While they do have other characteristics that are sometimes associated with them, these features are not always completely accurate and may not apply in every circumstance.
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A sample of wood has a mass of 12 g and a volume of 16 mL. What is the density of the wood?
Answer:
.75
Explanation:
To find the density of something you simply divide its m by volume. The equation for this looks like; \(d=m/v\)
Plug it in;
12/16=.75
Hope this helps! Have a good rest of your day:)
the answer is 0.75 or 750
suppose you are standing on your bathroom scales and observe its reading. now suppose you put you hand on top of a nearby counter and push down on it. how will the scale reading change?
When you stand on your bathroom scales and observe its reading, now you suppose you put your hand on top of a nearby counter and push down on it. The scale reading will decrease.
When you stand on a scale, it displays the weight on your body. The force applied by your body and your body's mass determine the scale reading. The scale reads the weight, not mass. The bathroom scale employs the normal force on your body. The weight of your body applies to the ground. The force that the ground exerts on your body equals the weight.The force acting on the scale in an opposite direction is your weight force. If you put your hand on a nearby counter and push down on it, you apply an external force to the ground. So, the force exerted by the ground will also increase, causing the scale's reading to decrease.
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Convert 55 miles into inches
Answer:
3.485e+6 inches. hope this helps
Answer:
What I got was a big number but it got around 3.485e+6
Explanation:
A model rocket accelerates at 15.3 m/s2 with a force of 44 N.
Calculate the mass of the rocket. Round your answer to the nearest tenth of a kg.
The mass of the rocket is
kg.
Answer:
The answer is 2.88 kgExplanation:
The mass of the object can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{44}{15.3} \\ = 2.875816...\)
We have the final answer as
2.88 kgHope this helps you
Answer:
2.9
Explanation:
In the equation you get 2.88 but you round that to the nearest tenth so you get 2.9
A 136 kg defensive lineman is about to tackle a 100 kg quarterback. Right before
impact, the lineman is moving north at 6.0 m/s and the quarterback is moving
north at 1.0 m/s. Determine the speed and direction of the two players
immediately after the tackle.
Answer:
3.88 m/s North
Explanation:
We are given that
\(m_1=136kg\)
\(m_2=100 kg\)
\(v_1=6 m/s\)
\(v_2=1m/s\)
We have to find the speed and direction of the two players
immediately after the tackle.
Using linear conservation of momentum
\(m_1v_1+m_2v_2=(m_1+m_2)v\)
Substitute the values
\(136\times 6+100\times 1=(136+100)v\)
\(916=236v\)
\(v=\frac{916}{236}\)
\(v=3.88m/s\)
Direction of the two players immediately after the tackle is North.
When you use your senses to gather information you are
An observation is information we gather about something by using the senses.
Target zone means that is your minimum amount of work you do when training.
(1 Point)
True
False
Answer:
False
Explanation:
Target zone is generally approximatly 70% (maybe 80%) of your maximum amount of work you can do.
Answer:
am I the only one seeing blink
In ancient times, _____________________was predicting the motion of the stars, while ____________________was predicting how those stars affected us
In ancient times, Astronomy was predicting the motion of the stars, while Astrology was predicting how those stars affected us.
If a star is moving away, its light waves get stretched out to longer, redder, wavelengths, producing a redshift. The faster the star, the greater this shift, so observers can measure the line-of-sight speed from the Doppler shift.the astronomer William Herschel (1738-1822) systematically measured the proper motion of stars in the sky. He found that stars were moving apart in one region and coming closer together in another, and concluded that the Sun was moving toward the region where stars are moving apart.
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DETAILS MY NOTES Write the nuclear symbols for each of the following. (Enter the mass number in the first raised box, the atomic number in the second lower box, and the element's symbol in the third box.) (a) strontium-90 90 38 Sr (b) xenon-133 133 54 Xe (c) technetium-95 95 To 43 (d) aluminum-25 25 13 Al
(a) The nuclear symbol for strontium-90 is 90 38 Sr.
(b) The nuclear symbol for xenon-133 is 133 54 Xe.
(c) The nuclear symbol for technetium-95 is 95 43 Tc.
(d) The nuclear symbol for aluminum-25 is 25 13 Al.
Here are the nuclear symbols for each of the given elements:
(a) Strontium-90: 90 38 Sr
Strontium has 38 protons in its nucleus. So, the atomic number of strontium is 38. The mass number of strontium-90 is 90. Therefore, the nuclear symbol for strontium-90 is 90 38 Sr.
(b) Xenon-133: 133 54 Xe
Xenon has 54 protons in its nucleus. So, the atomic number of xenon is 54. The mass number of xenon-133 is 133. Therefore, the nuclear symbol for xenon-133 is 133 54 Xe.
(c) Technetium-95: 95 43 Tc
Technetium has 43 protons in its nucleus. So, the atomic number of technetium is 43. The mass number of technetium-95 is 95. Therefore, the nuclear symbol for technetium-95 is 95 43 Tc.
(d) Aluminum-25: 25 13 Al
Aluminum has 13 protons in its nucleus. So, the atomic number of aluminum is 13. The mass number of aluminum-25 is 25. Therefore, the nuclear symbol for aluminum-25 is 25 13 Al.
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ssm what is the spring constant of a spring that stores 25 j of elastic potential energy when compressed by 7.5 cm?
The spring constant for a spring that can store 25J of elastic potential energy when compressed by 7.5 cm is 8.9*10³ N/m.
given,
energy stored in the spring = E = 25J
compressed distance = x = 7.5cm = 0.075m
E = 1/2 * kx²
K = 2E/x²
= 8.9*10³ N/m
The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.
Potential energy can take many different forms. Some examples are an object's gravitational potential energy, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field. The joule, denoted by the letter J in the International System of Units (SI), is the unit of energy.
Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word "potential energy" was first used in the 19th century by the Scottish engineer and scientist William Rankine.
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the work that is required to compress a 33.0-cm-long spring (that is the length in the re- laxed state) by exactly 1/3 of its unstrained (neither compressed nor stretched) length is 67.3 j. (a) what must be the spring constant of this spring? (b) what is the applied force that is necessary to perform that compression?
The computed values of spring constant and Force applied are 336.483 and 11,541.3669 N respectively.
Given- Length of spring = 33 cm
Unstrained length = 67.3 cm.
To find the spring constant and applied force to necessitate the compression , we have to follow following points -
Difference of Unstrained length and Length of spring gives actual length of spring.Spring constant is a quality deciding factor of spring. More the spring constant more is the force to be applied. That means spring is stronger. So spring constant ∝ Force applied.To find out the spring constant just multiply the original length with gravity as it affects the pull of the spring.Using Hooke's law the necessary force required for compression can be calculated.\(F=-kx\)Calculations-
Original length= 67.3-33=34.3 cm
Spring constant = 34.3 x 9.81 = 336.483Using the equation mentioned above to find out force for compression -
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5. Calculate the area if the force is 368N and the pressure is 28Pa..
The area would be 13.1429 Meter².
Answer:
\(\boxed {Area = 13.14 m^{2}}\)
Explanation:
Formula applied :
\(\boxed {Area = \frac{Pressure}{Force}}\)
Given :
Force = 368 NPressure = 28 PaSolving :
Area = 368/28Area = 92/7Area = 13.14 m² (approx.)How do you do binomial expansion on a calculator?
Binomial Expansion is a mathematical technique that involves expanding a given expression with two terms (binomial) raised to a power. It can be useful in solving complex mathematical problems, but finding the expansion of a binomial expression by hand can be time-consuming and error-prone.
Fortunately, modern calculators can help simplify this process by providing built-in functions for binomial expansion. The specific method for using a calculator to perform a binomial expansion will depend on the type of calculator you have, but here is a general explanation for how it can be done:
Make sure your calculator is in the correct mode: Before using your calculator for binomial expansion, you need to make sure it is in the correct mode. For most calculators, this is the "math" or "algebra" mode.
Choose the correct function: Most calculators have a function specifically designed for binomial expansion, often referred to as the "binomial theorem" or "nCr" function. This function calculates the individual terms of the binomial expansion.
Input the binomial expression: Enter the binomial expression you want to expand, including the power to which it is raised. For example, if you want to expand (a + b)^3, enter (a + b) and then "^" followed by the power, "3".
Use the binomial theorem function: Apply the binomial theorem function to the expression. This will give you the individual terms of the expansion.
Verify the expansion: Compare the expansion generated by your calculator to a known result or to a binomial expansion table to make sure the expansion is correct.
Note: Not all calculators have a built-in binomial theorem function, so you may need to use a different method or software to expand binomials.
In conclusion, using a calculator to perform a binomial expansion can save time and reduce the risk of calculation errors. The specific steps may vary depending on the type of calculator you have, but the general idea is to choose the correct function and input the binomial expression.
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Calculate the density of each ball. Use the formulaD = m/Vwhere D is the density, m is the mass, and V is the volume. Record your calculations in Table A of your Student Guide.
To calculate the density of each ball, we can use the formula D = m/V, where D represents density, m represents mass, and V represents volume.
Let's assume we have two balls, Ball A and Ball B.
For Ball A:
Given mass (m) = 75 grams
Given volume (V) = 50 cubic centimeters
Using the formula D = m/V, we can substitute the values:
Density of Ball A (D_A) = 75 grams / 50 cubic centimeters = 1.5 grams per cubic centimeter
For Ball B:
Given mass (m) = 100 grams
Given volume (V) = 80 cubic centimeters
Using the formula D = m/V, we can substitute the values:
Density of Ball B (D_B) = 100 grams / 80 cubic centimeters = 1.25 grams per cubic centimeter
Therefore, the density of Ball A is 1.5 grams per cubic centimeter, and the density of Ball B is 1.25 grams per cubic centimeter.
Please note that the units for density are typically expressed as mass per unit volume, such as grams per cubic centimeter or kilograms per cubic meter, depending on the system of measurement used.
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A physical therapy exercise has a person shaking a 5.00 kg weight up and down rapidly. if the barbell is moving at 4.50 m/s, what is the magnitude of the force required to stop it in 0.333 seconds?
The magnitude of the force required to stop the weight in 0.333 seconds is 67.6 N.
Magnitude of required force to stop the weight
The magnitude of the force required to stop the weight in 0.333 seconds is calculated by applying Newton's second law of motion as shown below;
F = ma
F = m(v/t)
F = (mv)/t
F = (5 x 4.5)/0.333
F = 67.6 N
Thus, the magnitude of the force required to stop the weight in 0.333 seconds is 67.6 N.
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the describes the only set of conditions at which all three phases can exist in equilibrium
The triple point of water is the unique combination of temperature and pressure at which solid ice, liquid water, and water vapor can coexist in thermodynamic equilibrium. It is the point where the sublimation, fusion, and vaporization curves meet on the phase diagram of water. The triple point of water has a value of 273.16 K and a partial vapor pressure of 611.657 pascals
About Solid IceSolid ice form of carbon dioxide that is usually used as a coolant. The advantage of dry ice is that it is at a lower temperature than ice from water and doesn't leave any residue. Dry ice is usually used to keep frozen food cold in places where refrigeration is not available.
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Answer all the parts and show work. Will give brainliest. 35 points.
Answer:
using all projectile formulas respectively ...
A. time taken to reach maximum height = UsinTITA/g = 65 × sin 50 / 10
t = 65 × 0.7660 /10
t = 4.979 seconds
B . Total TIME OF FLIGHT = 2U sin♧/g
T = 2t = 2× 4.979 = 9.95seconds
C. Maximum Height attained = U^2sin^2 ♤/2g
H = (65)^2 × (0.7660)^2 / 2 × 10
H = 4225 × 0.5867 / 20
H = 123.9m
D. Horizontal Range = U^2 sin2tita/ g
R = 65)^2 × ( sin 50×2 ) / 10
R = 4225 × sin 100 / 10
R = 4160.81 / 10
R = 416m
Explanation:
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Explanation:
Given:
v₀ₓ = 65 m/s cos 50° = 41.78 m/s
aₓ = 0 m/s²
v₀ᵧ = 65 m/s sin 50° = 49.79 m/s
aᵧ = -9.8 m/s²
(a) Find t when vᵧ = 0 m/s.
vᵧ = aᵧ t + v₀ᵧ
0 m/s = (-9.8 m/s²) t + 49.79 m/s
t = 5.08 s
(b) Assuming the ball lands at the same height it was launched at, the total time in the air is double the time it takes to reach the maximum height.
t = 2 (5.08 s)
t = 10.2 s
(c) Find Δy when vᵧ = 0 m/s.
vᵧ² = v₀ᵧ² + 2aᵧΔy
(0 m/s)² = (49.79 m/s)² + 2 (-9.8 m/s²) Δy
Δy = 126 m
(d) Find Δx when t = 10.2 s.
Δx = v₀ₓ t + ½ aₓ t²
Δx = (41.78 m/s) (10.2 s) + ½ (0 m/s²) (10.2 s)²
Δx = 425 m