Practice Problems
Kinematics Functions
Topics:
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
2
- 4t + 10. What would be its instantaneous position at t = 4 seconds?
74 meters
64 meters
80 meters
14 meters
omit
Question 2
What is the cart's displacement between t = 4 seconds and t = 9 seconds?
379 meters
115 meters
305 meters
453 meters
omit
Question 3
What is the cart's average velocity during the interval t = 4 seconds and t = 9 seconds?
90.6 m/sec
75.8 m/sec
61 m/sec
14.8 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 4 seconds and t = 9 seconds?
50.0 m/sec
23.6 m/sec
86.0 m/sec
36.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 9 seconds?
1 x 10
1
m/sec
2
4.72 x 10
0
m/sec
2
9.56 x 10
0
m/sec
2
1 x 10
1
m/sec
2
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 4 seconds and t = 9 seconds?
True
False
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