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) = 5t
1
+ 8. What would be its instantaneous position at t = 2 seconds?
10 meters
26 meters
18 meters
10 meters
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Question 2
What is the cart's displacement between t = 2 seconds and t = 7 seconds?
43 meters
61 meters
25 meters
33 meters
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Question 3
What is the cart's average velocity during the interval t = 2 seconds and t = 7 seconds?
8.6 m/sec
5 m/sec
3.6 m/sec
12.2 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 2 seconds and t = 7 seconds?
-2.9 m/sec
5.0 m/sec
8.0 m/sec
0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 7 seconds?
0.0 m/sec
2
-4.08 x 10
-1
m/sec
2
1.14 x 10
0
m/sec
2
3 x 10
0
m/sec
2
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 2 seconds and t = 7 seconds?
False
True
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