Practice Problems
Kinematics Functions
Directions:
On this worksheet you will work with position, velocity, and acceleration functions expressed in terms of time.
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Question 1
Given that a cart obeys the position function s(t) = 7t
1
+ 10. What would be its instantaneous position at t = 3 seconds?
51 meters
13 meters
31 meters
21 meters
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Question 2
What is the cart's displacement between t = 3 seconds and t = 10 seconds?
49 meters
59 meters
111 meters
80 meters
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Question 3
What is the cart's average velocity during the interval t = 3 seconds and t = 10 seconds?
4.4 m/sec
7 m/sec
11.4 m/sec
15.9 m/sec
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Question 4
What is the cart's change in velocity during the interval t = 3 seconds and t = 10 seconds?
7.0 m/sec
-2.3 m/sec
10.0 m/sec
0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 10 seconds?
-2.33 x 10
-1
m/sec
2
0.0 m/sec
2
3 x 10
0
m/sec
2
1 x 10
0
m/sec
2
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Question 6
True or False. The acceleration in
Question 5
was constant between between t = 3 seconds and t = 10 seconds?
True
False
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