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}
- 4t + 11. What would be its instantaneous position at t = 4 seconds?
123 meters
128 meters
15 meters
112 meters
omit
Question 2
What is the cart's displacement between t = 4 seconds and t = 12 seconds?
491 meters
1115 meters
992 meters
1238 meters
omit
Question 3
What is the cart's average velocity during the interval t = 4 seconds and t = 12 seconds?
124 m/sec
15.4 m/sec
154.8 m/sec
139.4 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 4 seconds and t = 12 seconds?
62.2 m/sec
188.0 m/sec
60.0 m/sec
128.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 12 seconds?
1.57 x 10
^{1}
m/sec
^{2}
7.77 x 10
^{0}
m/sec
^{2}
1.6 x 10
^{1}
m/sec
^{2}
1.6 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 = 12 seconds?
False
True
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