Practice Problems
Kinematics Functions
Directions:
On this worksheet you will work with position, velocity, and acceleration functions expressed in terms of time.
omit
Question 1
Given that a cart obeys the position function s(t) = 8t
2
- 3t + 8. What would be its instantaneous position at t = 3 seconds?
71 meters
11 meters
72 meters
63 meters
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Question 2
What is the cart's displacement between t = 3 seconds and t = 11 seconds?
496 meters
872 meters
943 meters
1014 meters
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Question 3
What is the cart's average velocity during the interval t = 3 seconds and t = 11 seconds?
126.8 m/sec
8.9 m/sec
117.9 m/sec
109 m/sec
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Question 4
What is the cart's change in velocity during the interval t = 3 seconds and t = 11 seconds?
173.0 m/sec
128.0 m/sec
62.1 m/sec
45.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 11 seconds?
1.6 x 10
1
m/sec
2
1.57 x 10
1
m/sec
2
1.6 x 10
1
m/sec
2
7.76 x 10
0
m/sec
2
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 3 seconds and t = 11 seconds?
True
False
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