1. (01.07 HC) A 50 kg cart moves on a straight horizontal track. The graph below shows the velocity of the cart (VX) as a function of time (t). Velocity is given in units m/s, and time is seconds. Vx (m/s) Velocity vs. Time of 50 kg Cart On a Straight Horizontal Track 1.0 0.8 0.6 0.4 0.2 0.0 t(s) 10 15 20 -0.2 -0.4 -0.6 -0.8 -1.0 a. Indicate every time t for which the cart is at rest. b. Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing. Justify why you selected those time interval(s). c. Determine the horizontal position x of the cart at t = 9.0 s if the cart is located at x = 1.0 m at t = 0. Show your work. d. Use the velocity versus time graph in this question to create an acceleration versus time graph for the cart. Using a sheet of graph paper, create the acceleration (a) versus time (t) graph for the motion of the cart from t = 0 to t = 25 s. Write your name and today's date in the upper right corner. Scan or take a picture of your graph and attach it to this item.

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1. (01.07 HC)
A 50 kg cart moves on a straight horizontal track. The graph below shows the velocity of the cart (VX) as a function of time (t). Velocity
is given in units m/s, and time is seconds.
Vx (m/s)
Velocity vs. Time of 50 kg Cart On a Straight Horizontal Track
1.0
0.8
0.6
0.4
0.2
0.0
t(s)
10
15
20
-0.2
-0.4
-0.6
-0.8
-1.0
a. Indicate every time t for which the cart is at rest.
b. Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing. Justify why you selected those
time interval(s).
c. Determine the horizontal position x of the cart at t = 9.0 s if the cart is located at x = 1.0 m at t = 0. Show your work.
d. Use the velocity versus time graph in this question to create an acceleration versus time graph for the cart. Using a sheet of
graph paper, create the acceleration (a) versus time (t) graph for the motion of the cart from t = 0 to t = 25 s. Write your name
and today's date in the upper right corner. Scan or take a picture of your graph and attach it to this item.
Transcribed Image Text:1. (01.07 HC) A 50 kg cart moves on a straight horizontal track. The graph below shows the velocity of the cart (VX) as a function of time (t). Velocity is given in units m/s, and time is seconds. Vx (m/s) Velocity vs. Time of 50 kg Cart On a Straight Horizontal Track 1.0 0.8 0.6 0.4 0.2 0.0 t(s) 10 15 20 -0.2 -0.4 -0.6 -0.8 -1.0 a. Indicate every time t for which the cart is at rest. b. Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing. Justify why you selected those time interval(s). c. Determine the horizontal position x of the cart at t = 9.0 s if the cart is located at x = 1.0 m at t = 0. Show your work. d. Use the velocity versus time graph in this question to create an acceleration versus time graph for the cart. Using a sheet of graph paper, create the acceleration (a) versus time (t) graph for the motion of the cart from t = 0 to t = 25 s. Write your name and today's date in the upper right corner. Scan or take a picture of your graph and attach it to this item.
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