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) = 6t
1
+ 11. What would be its instantaneous position at t = 2 seconds?
12 meters
34 meters
13 meters
23 meters
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Question 2
What is the cart's displacement between t = 2 seconds and t = 8 seconds?
82 meters
59 meters
47 meters
36 meters
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Question 3
What is the cart's average velocity during the interval t = 2 seconds and t = 8 seconds?
9.8 m/sec
3.8 m/sec
6 m/sec
13.7 m/sec
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Question 4
What is the cart's change in velocity during the interval t = 2 seconds and t = 8 seconds?
-4.1 m/sec
6.0 m/sec
11.0 m/sec
0 m/sec
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Question 5
What would be its instantaneous acceleration at 8 seconds?
5 x 10
0
m/sec
2
0.0 m/sec
2
-5.16 x 10
-1
m/sec
2
1.38 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 = 2 seconds and t = 8 seconds?
False
True
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