your boss wants you to determine if the initial velocity of the sled and the weight...
your boss wants you to determine if the initial velocity of the
sled and the weight of the team
affect its acceleration down the ramp. To solve this problem, you
decide to model the situation
using a cart moving down an inclined track.
Write down the relationship between the acceleration and the
velocity of the cart. Use that
relationship to construct an instantaneous velocity vs. time graph,
after an initial push,
just below each of your acceleration vs. time graphs from question
1. Use the same scale
for your time axes. (The connection between the derivative of a
function and the slope of
its graph will be useful.) Write down the equation that best
represents each graph. If there
are constants in your equations, what kinematics quantities do they
represent? How would
you determine the constants from your graphs? Can any of the
constants be determined
from the equations representing the acceleration vs. time
graphs?
Homework Answers
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your boss wants you to determine if the initial velocity of the
sled and the weight...
Your boss wants you to determine if the initial velocity of the sled and the weight...
Your boss wants you to determine if the initial velocity of the sled and the weight of the team affect its acceleration down the ramp. To solve this problem, you decide to model the situation using a cart moving down an inclined track. Write down the relationship between the velocity and the position of the cart. Use that relationship to construct a position vs. time graph, after an initial push, just below each velocity vs. time graph from question 2....
Choose a function to represent the acceleration vs. time graph. How can you calculate the values...
Choose a function to represent the acceleration vs. time graph. How can you calculate the values of the constants of this function from the function representing the position versus time graph? Check how well this works. You can also estimate the values of the constants from the graph. What kinematics quantities do these constants represent? Record the corresponding kinematic quantities and the values of the corresponding errors. From either the position vs. time, velocity vs. time, or acceleration vs. time...
10. Move the Motion Sensor. Place the Motion Sensor at the bottom of the track pointing...
10. Move the Motion Sensor. Place the Motion Sensor at the bottom of the track pointing up the track. 11. Check the Motion Sensor. Start with the cart at least 50 em in front of the sensor. Practice pushing the cart up the track so the cart doesn't go over the top of the track and stopping the cart before it gets within the 50 em of the sensor. Start the sensor and push the carit up the track. Stop...
Create graphs for the following scenarios. A drag racing vehicle rapidly accelerating down a track from...
Create graphs for the following scenarios. A drag racing vehicle rapidly accelerating down a track from rest. Graph acceleration vs. time Graph velocity vs. time Consider a cart that is moving up a ramp What is the direction of net force on the cart? 0 +x direction -x direction Vertically down Vertically up Consider a cart that is moving down a ramp What is the direction of net force on a cart 0 +x direction -x direction Vertically down Vertically...
A sled is pushed up on an inclined surface 37.0° with an initial velocity 6.0 m/s....
A sled is pushed up on an inclined surface 37.0° with an initial velocity 6.0 m/s. The sled moves along the surface with a constant acceleration of 5.66 m/s2. After 5.0 s the sled reaches the end of the surface and falls 11.0 m below the inclined surface. (a) How much time (in s) does it take the sled to be in the air? (b) How far horizontally from the end of the surface the sled would fall (in m)?...
Part 2: Velocity vs. Time 1. For each velocity vs. time graph (Graph 3 and 4), describe how you w...
Part 2: Velocity vs. Time 1. For each velocity vs. time graph (Graph 3 and 4), describe how you would walk in order to replicate the 1-D motion graph. Use words such as away, toward, at rest, speeding up, slowing down, constant speed. Be specific with your time periods. 2. For each velocity vs. time graph, create the corresponding position and acceleration versus time graphs. Construct your graph on a computer program such as Microsoft ExcelB. If you do not...
A proposed ride at the Valley Fair amusement park launches a roller coaster car up an...
A proposed ride at the Valley Fair amusement park launches a roller coaster car up an inclined track. Near the top of the track, the car reverses direction and rolls backwards into the station. As a member of the safety committee, you have been asked to compute the acceleration of the car throughout the ride and determine if the acceleration of an object moving up a ramp is different from that of an object moving down the same ramp. To...
please help with #7 and question 6 (the last question) 3. Rescale the axes if necessary...
please help with #7 and question 6 (the last question)
3. Rescale the axes if necessary to see all of the graphs. Answer the following questions: a. At the instant the push ends, what does the force equal? F= b. At the instant the push ends, what does the acceleration equal? a= c. At the instant the push ends, what can you say about the speed of the cart? Look carefully at the graphs on the computer monitor. 4. Use...
PHYS 121 – Special Problem 1 Multiple Representations and Kinematics Two children are playing a game...
PHYS 121 – Special Problem 1 Multiple Representations and Kinematics Two children are playing a game where they run towards each other and see who can reach a toy that is somewhere between them. In the beginning, Charlie is 23.7 m away from the toy, running towards it at a speed of 0.770 m/s, and is speeding up. At the same time, Amy is 12.5 m away from the toy, is running towards it in the opposite direction as Charlie...
What is the total distance traveled by the particle? What Velocity vs. Time Graphs Can Tell...
What is the total distance traveled by the particle?
What Velocity vs. Time Graphs Can Tell You Constants A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors...
10. Move the Motion Sensor. Place the Motion Sensor at the bottom of the track pointing up the track. 11. Check the Motion Sensor. Start with the cart at least 50 em in front of the sensor. Practice pushing the cart up the track so the cart doesn't go over the top of the track and stopping the cart before it gets within the 50 em of the sensor. Start the sensor and push the carit up the track. Stop...
Part 2: Velocity vs. Time 1. For each velocity vs. time graph (Graph 3 and 4), describe how you would walk in order to replicate the 1-D motion graph. Use words such as away, toward, at rest, speeding up, slowing down, constant speed. Be specific with your time periods. 2. For each velocity vs. time graph, create the corresponding position and acceleration versus time graphs. Construct your graph on a computer program such as Microsoft ExcelB. If you do not...
please help with #7 and question 6 (the last question)
3. Rescale the axes if necessary to see all of the graphs. Answer the following questions: a. At the instant the push ends, what does the force equal? F= b. At the instant the push ends, what does the acceleration equal? a= c. At the instant the push ends, what can you say about the speed of the cart? Look carefully at the graphs on the computer monitor. 4. Use...
What is the total distance traveled by the particle?
What Velocity vs. Time Graphs Can Tell You Constants A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors...
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