The spring constant k (in lbf /ft) is 248.62 lbf/ft and the natural frequency f (in hz) of the system is 10.54 Hz.
Given the mass of object (m) = 4.7lbm
The elongation in spring (L) = 1.3inches
The spring constant of spring = k
We know that the force exerted on the spring is = F
We determine Fs = kL
The force on object (F) = mg
Fs = F then,
mg = kL such that:
k = (4.7 lbm * 32.2 ft/s^2) / (1.3 in) where 1 lbm * 32.2 ft/s2 = 1 lbf
k = 248.62 lbf/ft
The frequency of spring = f
f = 1 / (2π * √(m/k))
f = 1 / (2π * √(4.7 lbm / 248.62 lbf/ft))
f = 10.54 Hz
To learn more about spring constant click here https://brainly.com/question/14159361
#SPJ4
Which action could a student take to produce a longitudinal wave with a large amplitude?
A. Drop a pebble in a pond.
B. Light a candle.
C. Bang on a drum.
D. Stand as still as possible.
Answer:
Bang on a drum.
Explanation:
Amplitude is making loud sounds
A student of 4 feet tall went for swimming in a pool. He saw the depth of water in the pole less than 4 feet .Will he sink , write with reason
Answer:
he will not be drowned
Explanation:
Question says , the height of the student = 4 feet,
Depth of the pool( in feet ) be x ( say ) which is less than 4 feet,
Clearly, the depth of the pool < height of the student,
This means, if the student goes for swimming in the pool, however he does not know swimming, he will not be drowned until he is suffering from an injury or external force.
which type of nozzle that is designed for use on fires in confined spaces has a rotating head that distributes water in a circular pattern?
Cellar nozzle is a type of nozzle that is designed for use on fires in confined spaces has a rotating head that distributes water in a circular pattern.
A nozzle is a device used to control the direction or properties of a fluid flow as it exits (or enters) an enclosed chamber or conduit.
A nozzle is often a pipe or tube with changing cross sectional area that can be used to guide or change the flow of a fluid (liquid or gas). Nozzles are widely employed to control the rate of flow, speed, direction, mass, form, and/or pressure of the stream that emerges from them. In a nozzle, fluid velocity increases at the expense of pressure energy. A gas jet, fluid jet, or hydro jet is a nozzle designed to discharge gas or fluid in a coherent stream into a surrounding medium.
Learn more about nozzle here:
https://brainly.com/question/4295872#SPJ4
#SPJ4
Which of these is an example of refraction? A straw appearing bent in water versus in the air. A person far away from a speaker hearing a sound much later than something standing close to it. Observing the orbital motion of a planet. Seeing a star shift position when viewed from different parts of Earth's orbit. Question 4 Your weather app says it's going to be 250 K outside tomorrow. How should you dress? Like you're crossing the Sahara Desert Like you're vacationing on a Caribbean island Like an average August afternoon in Houston Like you're going to Antarctica A hotter blackbody appears brighter than a cooler one. What law describes this behavior? Newton's Law of Universal Gravitation 1st Law of Thermodynamics Stefan-Boltzmann Law Wien's Law Kepler's Super Secret 4 th Law
One example of refraction is a straw appearing bent in water versus in the air.
Refraction is defined as the bending of light as it passes through different mediums. When light moves from one substance to another, its speed changes and this change causes it to bend.
Refraction of light occurs when it enters a medium with a different refractive index than the one it is currently in. Light travels at a slower speed in water than it does in air, as a result, the light is bent when it enters the water. This causes the straw to look bent when it is in the water, even though it is not really bent. Therefore, the answer to the question is A straw appearing bent in water versus in the air.
When light enters a medium with a different refractive index than the one it is currently in, it bends. Refraction causes objects in water to appear to be shifted from their actual position. Refraction is responsible for the apparent bending of a pencil or straw in a glass of water, for instance.
Learn more about refraction -
brainly.com/question/27932095
#SPJ11
Sean is moving heavy furniture by sliding it across the floor. He puts a blanket underneath the furniture. Why dis this help him?
bit.♠ly/3♠vhMu♠vJ remove symbols before searching or it wont work, there was a bug stoping me from attaching the image so there it is
Answer:
k and...
Explanation:
Answer:
no thank you.
explanation: Do not want to
What is the overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2?
The overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2 is 3.
The rate law (also known as the rate equation) for a chemical reaction is an expression that provides a relationship between the rate of the reaction and the concentrations of the reactants participating in it.
Now,
The Rate equation is
Rate= K[A]^m [B]^n
K = Rate constant.
m = order with Respect To A
n = order with Respect To B.
m +n = over all order of Reaction
R = K[NO2]^2 [O2]^1
Overall order = 2+1 =3 .
To know more about "Rate Law"
Refer this link:
https://brainly.com/question/13301088
#SPJ4
American football is played on a 100 yd long field, excluding the end zones. how long is the field in meters? (assume that 1 meter equals 3.281 feet.)
Answer:
100 yd * 3 ft/yd / 3.281 ft/m = 91.4 m
Check" 91.4 m " 3.281 ft/yd = 299.9 ft = 100 yd
Given this graph plotting velocity versus time, estimate the acceleration of object A at points X and Y respectively.
A. 0 meters/second2 and -1 meter/second2
B. 0 meters/second2 and +1 meter/second2
C. 5 meters/second2 and -2 meters/second2
D. 9 meters/second2 and -1 meter/second2
E. 0 meters/second2 and +3 meters/second2
Here are two relations: "is married to" and "is not married to." Supposing the universe is the set of all living human beings, which of these is...
(a) reflexive
(b) irreflexive
(c) symmetric
(d) asymmetric
(e) antisymmetric
The answer is option (b) irreflexive, i.e., "is not married to." Therefore, we can conclude that the irreflexive is "is not married to".
Here are two relations: "is married to" and "is not married to." Supposing the universe is the set of all living human beings, which of these is irreflexive.
The irreflexive is "is not married to".What is irreflexive. In Mathematics, a binary relation R over a set X is irreflexive if and only if no element of X is associated with itself under the relation. Symbolically, ∀x ∈ X, ¬(xRx).
For example, the "greater than" relation is irreflexive on the real numbers because no real number is ever greater than itself.
What is a binary relation A binary relation R from a set A to a set B is a subset of the Cartesian product A × B, where A and B are arbitrary sets.In this case, the universe is the set of all living human beings.
Therefore, the relation "is married to" is not irreflexive. However, the relation "is not married to" is irreflexive since no human being is not married to themselves.
Thus, the answer is option (b) irreflexive, i.e., "is not married to."Therefore, we can conclude that the irreflexive is "is not married to".
to learn more about irreflexive.
https://brainly.com/question/30425683
#SPJ11
The relation "is married to" is reflexive, while the relation "is not married to" is irreflexive. Neither relation is symmetric, asymmetric, or antisymmetric.
The relation "is married to" is an example of a reflexive relation, while the relation "is not married to" is an example of an irreflexive relation.
(a) Reflexive: A relation is reflexive if every element in the set is related to itself. In the case of the relation "is married to," every person in the universe of all living human beings is married to themselves. For example, John is married to John, Mary is married to Mary, and so on. This satisfies the condition of reflexivity.
(b) Irreflexive: A relation is irreflexive if no element in the set is related to itself. In the case of the relation "is not married to," no person in the universe of all living human beings is not married to themselves. This means that everyone is married to themselves, which contradicts the condition of irreflexivity.
The relations "is married to" and "is not married to" are not symmetric, asymmetric, or antisymmetric because they do not satisfy the respective conditions for these properties.
(c) Symmetric: A relation is symmetric if for every element (x, y) in the relation, the element (y, x) is also in the relation. In the case of the relation "is married to," if John is married to Mary, it does not necessarily mean that Mary is married to John. Therefore, the relation is not symmetric.
(d) Asymmetric: A relation is asymmetric if for every element (x, y) in the relation, the element (y, x) is not in the relation. In the case of the relation "is married to," if John is married to Mary, it is not possible for Mary to be married to John. Therefore, the relation is not asymmetric.
(e) Antisymmetric: A relation is antisymmetric if for every element (x, y) in the relation, where x is not equal to y, if (x, y) is in the relation, then (y, x) is not in the relation. In the case of the relation "is married to," if John is married to Mary, it is not possible for Mary to be married to John. Therefore, the relation is antisymmetric.
In summary, the relation "is married to" is reflexive, while the relation "is not married to" is irreflexive. Neither relation is symmetric, asymmetric, or antisymmetric.
Learn more about relation:
https://brainly.com/question/14817505
#SPJ11
Tim pulls his little sister in a wagon with a constant force of 50 N over a distance of 100 m. How much work does Tim do
The amount of work done by tim is 5000 J.
What is work?Work is said to be done whenever force moves a body through a certain distance. Work is the product of force and distance. The S.I unit of work is Joules (J).
To calculate the work done by Tim, we use the formula below.
Formula:
W = Fd..................... Equation 1Where:
W = Work done by TimF = Force applied to the wagond = total distance moved by the wagonFrom the question,
Given:
F = 50 Nd = 100 mSubstitute these values into equation 1
W = 50(100)W = 5000 JHence, The amount of work done by Tim is 5000 J.
Learn more about work here: https://brainly.com/question/12970081
Calculate a revised value of δhsoln for your unknown salt, using your average calorimeter constant for the styrofoam cups to account for qcalorimeter.
A revised value of δhsoln for unknown salt, using average calorimeter constant for the styrofoam cups to account for \(Q_{calorimeter\) is \(Q_{solution\) = δHsoln - \(Q_{calorimeter\)
To calculate the revised value of δHsoln for the unknown salt, we need to account for the heat absorbed or released by the calorimeter (\(Q_{calorimeter\)) using the average calorimeter constant for the styrofoam cups.
The general equation for the heat transfer in a solution is:
\(Q_{reaction\) = \(Q_{calorimeter\) + \(Q_{solution\)
where \(Q_{reaction\) is the heat absorbed or released by the reaction, \(Q_{calorimeter\) is the heat absorbed or released by the calorimeter, and \(Q_{solution\) is the heat absorbed or released by the solution (in this case, the dissolution of the salt).
We can rearrange the equation to solve for qsolution:
\(Q_{solution\) = \(Q_{reaction\) - \(Q_{calorimeter\)
Since we are interested in the enthalpy change (δHsoln) for the dissolution of the salt, we can substitute \(Q_{reaction\) with δHsoln:
\(Q_{solution\) = δHsoln - \(Q_{calorimeter\)
Now, we can calculate the revised value of δHsoln using the average calorimeter constant for the styrofoam cups.
Learn more about calorimeter constant here:
https://brainly.com/question/31075302
#SPJ11
__________ strengthen behavior (i.e., increase its frequency).a. Negative reinforcement, positive reinforcement, extinction, and punishmentb. Negative reinforcement, positive reinforcement, and punishmentc. Negative reinforcement and extinctiond. Positive reinforcement and extinctione. Positive and negative reinforcement
The correct option is e. Positive and negative reinforcement both strengthen behavior (i.e., increase its frequency).
Positive reinforcement involves providing a pleasant stimulus after a behavior, which increases the likelihood of the behavior recurring in the future. For example, if a child gets a sticker for completing their homework, they are more likely to do their homework again in the future.
Negative reinforcement involves removing an unpleasant stimulus after a behavior, which also increases the likelihood of the behavior recurring. For example, if a student gets a headache when they don't wear their glasses and the headache goes away when they put on their glasses, they are more likely to wear their glasses in the future.
Both positive and negative reinforcement serve to strengthen and increase the frequency of a specific behavior. In contrast, extinction and punishment are techniques used to weaken or decrease the frequency of unwanted behaviors. Extinction involves the removal of a previously provided reinforcement, while punishment involves presenting an unpleasant stimulus or removing a pleasant stimulus in response to an undesired behavior.
In summary, positive and negative reinforcement work to increase the frequency of a behavior, while extinction and punishment work to decrease the frequency of undesired behaviors.
Learn more about frequency at: https://brainly.com/question/26754018
#SPJ11
All other things being equal, current will be larger in a wire that has a larger value of.
All other things being equal, the current will be larger in a wire that has a larger value of conductivity. Conductivity is a measure of how easily a material allows electric current to pass through it. It depends on factors such as the material's composition and structure.
When a wire has a higher conductivity, it means that it offers less resistance to the flow of electric current. The flow of current is directly proportional to the voltage applied and inversely proportional to the resistance in the circuit, according to Ohm's law (I = V/R).
A wire with higher conductivity will have a lower resistance compared to a wire with lower conductivity. As a result, more current can flow through the wire with higher conductivity, given the same voltage.
For example, let's consider two wires made of different materials, with all other factors being the same. Wire A has a higher conductivity than wire B. When the same voltage is applied to both wires, wire A will allow more current to flow through it because it offers less resistance. Wire B, with lower conductivity, will have a higher resistance and therefore a smaller current.
To know more about conductivity visit:
https://brainly.com/question/31201773
#SPJ11
what are the difference between conductor and insulator?
Answer:
A conductor allows energy e.g. electric charge or heat to pass through it easily. While an insulator does not let electric current or heat to travel through it.Insulators have strong molecular bonds. While molecular bonds are very weak in conductors.Insulators have very low conductivity. While in conductors, it is very high.Insulators have a very high resistance and therefore the electrons are held together very firmly. The conductors, on the other hand, have a very low resistance.Insulators do not have any electric field, neither inside nor on the surface. While in conductors, it is found on the surface and continues to be zero in the inner part of the conductor.The orbit of Venus around the sun is more sharply curved than the orbit of Mars. Use one of Newton's laws to explain this
Answer:
gravity it's what keeping it to rotate and keeping it looping
A 6kg rock rolls down a hill with a momentum of 12kg m/s . Work out the velocity of the rock
Answer:
if you need to get the work=force×displacement or if you need the velocity=displacement÷time taken
Answer:
Momentum= mass x velocity
So velocity= Momentum/mass= 12/6= 2m/s
What force causes an automobile to move.
Answer:
Thrust
Explanation:
Thrust is the force that causes a car to move in the direction that it wants to.
Which choice Not a direct risk of eating a diet too high in sugar? 1 diabetes 2 weight gain 3 tooth decay 4 weight loss
Answer:
4 weight loss
Explanation:
for what time interval (in minutes) does the exam last as measured by an observer on earth?
(a) The time interval for which the exam lasts, as measured by the students on spacecraft I, is 88.243 minutes.
Determine the time interval?When two observers are in relative motion, time dilation occurs due to the theory of special relativity. In this scenario, the students on spacecraft I are moving relative to an observer on Earth. To calculate the time interval measured by the students, we can use the time dilation formula:
Δt₁ = Δt₀ / γ
where Δt₁ is the time interval measured by the students, Δt₀ is the time interval measured by an observer on Earth, and γ is the Lorentz factor given by:
γ = 1 / sqrt(1 - (v/c)²)
Given that the speed of spacecraft I is 0.680c relative to Earth, we can substitute the values into the formulas. Solving for Δt₁, we find that the exam lasts 88.243 minutes as measured by the students on spacecraft I.
(b) The time interval for which the exam lasts, as measured by an observer on Earth, is 55.626 minutes.
Explanation:
When two observers are in relative motion, time dilation occurs due to the theory of special relativity. In this scenario, the professors on spacecraft II are moving relative to an observer on Earth. To calculate the time interval measured by the observer on Earth, we can use the time dilation formula:
Δt₁ = Δt₀ / γ
where Δt₁ is the time interval measured by an observer on Earth, Δt₀ is the time interval measured by the professors on spacecraft II, and γ is the Lorentz factor given by:
γ = 1 / sqrt(1 - (v/c)²)
Given that the speed of spacecraft II is 0.240c relative to Earth, we can substitute the values into the formulas. Solving for Δt₁, we find that the exam lasts 55.626 minutes as measured by an observer on Earth.
(c) If one of the professors proctored the exam by traveling on spacecraft I and stopped the exam after 54.0 minutes elapsed on her clock, the time interval for which the exam lasts, as measured by the professors on spacecraft II, can be calculated using the time dilation formula:
Δt₁ = Δt₀ / γ
where Δt₁ is the time interval measured by the professors on spacecraft II, Δt₀ is the time interval measured by the professor on spacecraft I, and γ is the Lorentz factor given by:
γ = 1 / sqrt(1 - (v/c)²)
Since the speed of spacecraft, I is 0.680c relative to Earth, we can substitute the values into the formulas. However, the time interval measured by the professor on spacecraft I is not provided, so we cannot determine the time interval measured by the professors on spacecraft II.
(d) Without knowing the time interval measured by the professor on spacecraft I, we cannot determine the time interval for which the exam lasts as measured by an observer on Earth in this scenario.
To know more about Lorentz factor, refer here:
https://brainly.com/question/30784090#
#SPJ4
Complete question here:
Spacecraft I, containing students taking a physics exam, approaches the Earth with a speed of 0.680c (relative to the Earth), while spacecraft II, containing professors proctoring the exam, moves at 0.240c (relative to the Earth) directly toward the students. The professors stop the exam after 54.0 min have passed on their clock.
(a) For what time interval (in minutes) does the exam last as measured by the students? 88.243 min
(b) For what time interval (in minutes) does the exam last as measured by an observer on Earth? 55.626 min What If? Suppose one of the professors proctored the exam by traveling on spacecraft I and stopped the exam after 54.0 min elapsed on her clock.
(C) For what time interval (in minutes) does the exam last as measured by the professors on spacecraft II? min
(d) For what time interval (in minutes) does the exam last as measured by an observer on Earth? min
The instrument that measures and displays the electrical impulses responsible for the cardiac cycle is a(n) ____.
Based on the provided statement An electrocardiogram (ECG) is a device that records and visualizes the electrical impulses causing the heart cycle.
The cardiac cycle is what?The human heart's activity from the start of one pulse to the start of the next is known as the cardiac cycle. It comprises two phases a diastole, when the heart relaxes and re-fills with blood, and a systole, in which the cardiac muscle contracts forcefully and pumps blood.
What exactly does the cardiac cycle look like?Atrial systole is the first phase of the cardiac cycle, which is followed by ventricular systole, atrial diastole, and ventricular diastole before the cycle restarts.
To know more about Cardiac cycle visit:
https://brainly.com/question/14797546
#SPJ4
Describe how the particles change when a solid turns to liquid and when a liquid turns to a gas
When a solid turns into a liquid, the particles gain energy and vibrate more quickly.
As heat is added to the solid, the particles gain energy and start moving more vigorously. Eventually, the energy overcomes the intermolecular forces holding the particles in place, causing them to break free from their fixed positions.
As a result, the solid's structure breaks down, and the particles become less organized, allowing them to flow freely past one another. This change from a solid to a liquid is known as melting, and it occurs at the melting point of the substance.When a liquid turns into a gas, the particles experience a process called vaporization or evaporation.
In a liquid, the particles are loosely packed and move more freely compared to a solid. As heat is applied to the liquid, the particles gain even more energy and move faster. Some particles near the surface gain enough energy to overcome the attractive forces of neighboring particles and escape into the surrounding space as gas molecules.
This transition from a liquid to a gas occurs at the boiling point of the substance. The remaining liquid continues to evaporate until all the liquid has been converted into gas or until equilibrium is reached.In both processes, the arrangement and motion of the particles change significantly.
The transition from a solid to a liquid involves a breakdown of the fixed positions of the particles, while the transition from a liquid to a gas involves the escape of particles from the liquid's surface.
for such more questions on particles
https://brainly.com/question/27911483
#SPJ8
FYour answer is partially correct. A rock is dropped (from rest) from the top of a 73.9-m-tall building. How far above the ground is the rock 1.4 s before it reaches the ground? Number Units
The rock is 64.3 meters above the ground 1.4 seconds before it reaches the ground. The distance above the ground where the rock is 1.4 s before it reaches the ground is 54.9 meters. We know that acceleration due to gravity, g = 9.8 m/s²Initial velocity of the rock, u = 0 m/s
Time is taken by the rock to hit the ground, t = 1.4 s
Using the kinematic equation:s = ut + 0.5gt²Where s = distance travelled, u = initial velocity, g = acceleration due to gravity, and t = time taken
Putting the given values in the above equation, we get:s = 0 × 1.4 + 0.5 × 9.8 × (1.4)²s = 0 + 0.5 × 9.8 × 1.96s = 0 + 9.6072s = 9.6 meters
Therefore, the rock is 9.6 meters above the ground when it is in the air for 1.4 seconds before it reaches the ground.
However, the height of the building from which the rock was dropped is 73.9 meters.
So, the distance above the ground where the rock is 1.4 seconds before it reaches the ground is: Height of building - Distance travelled by rock= 73.9 - 9.6= 64.3 meters
Hence, the rock is 64.3 meters above the ground 1.4 seconds before it reaches the ground.
Learn more about acceleration here ;
https://brainly.com/question/2303856
#SPJ11
how do you build a sticky piston door
Answer:
it can be built in mine craft
Explanation:
Answer:
put 2 pistons on each side and then put the block you want the door to be and power it with redstone
which of these is NOT a metamorphic rock?
Basalt
Slate
Marble
Explanation:
Basalt is not a metamorphic rocks
A charge gains 2.77 J of energy when it moves between the terminals of a battery with a potential difference of 9.00 V What is the amount of the charge? (Unit = C)
Answer: 0.308
Explanation:
acellus
Explain how the scenario below illustrates a lack of understanding of the importance of quality control.
Situation: Tomas is the manager of a local restaurant.
Tomas: “The health inspection department is too strict. We have to leave some cold foods out to prepare salads for lunch.”
Answer:
He is being careless.
Explanation:
he is trying to "get rid" of one problem so he can tackle another. This is food though, and you have customers to serve. You also have to be careful about food poisoning.
A hill that has a 15.5% grade is one that rises 15.5 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal
The angle of incline of the hill above the horizontal is 8.81°.
Since the hill has a 15.5% grade is one that rises 15.5 m vertically for every 100.0 m of distance in the horizontal direction.
Tangent of the angle of the incline of the hill,The tangent of the angle of the incline of the hill, Ф is
tanФ = vertical rise/horizontal distance = grade of hill
Now, the vertical rise = 15.5 m and the horizontal distance = 100.0 m
So, substituting the values of the variables into the equation, we have
tanФ = vertical rise/horizontal run
tanФ = 15.5 m/100.0 m
tanФ = 0.155
Angle of incline of the hill
Taking inverse tan of both sides, we have
Ф = tan⁻¹(0.155)
Ф = 8.81°
So, the angle of incline of the hill above the horizontal is 8.81°.
Learn more about angle of incline of a hill here:
https://brainly.com/question/10056962
why does the handle of a metal spoon submerged in boiling soup feel hot ?
The handle of a metal spoon submerged in boiling soup feels hot due to the process of heat transfer. Heat energy travels from the hot soup to the metal spoon through a process called conduction. In this process, the hot molecules of the soup transfer their energy to the metal molecules of the spoon, which then vibrate rapidly and increase in temperature.
As the spoon gets hotter, some of the heat energy is conducted through the handle, making it feel hot to the touch. Additionally, metals are good conductors of heat, meaning they can easily transfer heat energy from one area to another. This makes the handle of the metal spoon particularly susceptible to becoming hot when submerged in a hot liquid.
In summary, the handle of a metal spoon submerged in boiling soup feels hot because of the transfer of heat energy from the hot soup to the metal spoon through the process of conduction, and the good heat conductivity of the metal material.
to know more about temperature. click this link
brainly.com/question/7510619
#SPJ11
Starting from a location with position vector 1,=−17.5 m and 1,=23.1 m , a rabbit hops around for 10.7 seconds with average velocity ,=−2.25 m/s and ,=1.79 m/s . Find the components of the position vector of the rabbit's final location, 2, and 2, .
By definition of average velocity,
\(\vec v_{\rm ave} = \dfrac{\Delta \vec r}{\Delta t} = \dfrac{(x_2-x_1)\,\vec\imath + (y_2-y_1)\,\vec\jmath}{10.7\,\mathrm s}\)
If
\(\vec v_{\rm ave} = (-2.25\,\vec\imath + 1.79\,\vec\jmath)\dfrac{\rm m}{\rm s}\)
and \(x_1=-17.5\,\mathrm m\) and \(y_1=23.1\,\mathrm m\), then
\(-2.25\dfrac{\rm m}{\rm s} = \dfrac{x_2 - (-17.5\,\mathrm m)}{10.7\,\mathrm s} \\\\ 1.79\dfrac{\rm m}{\rm s} = \dfrac{y_2 - 23.1\,\mathrm m}{10.7\,\mathrm s}\)
Solve for \(x_2\) and \(y_2\):
\(x_2 = 17.5\,\mathrm m + \left(-2.25\dfrac{\rm m}{\rm s}\right)(10.7\,\mathrm s) \approx \boxed{-6.58\,\mathrm m}\)
\(y_2 = 23.1\,\mathrm m + \left(1.79\dfrac{\rm m}{\rm s}\right)(10.7\,\mathrm s) \approx \boxed{42.3\,\mathrm m}\)