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) = 6t
^{2}
- 3t + 10. What would be its instantaneous position at t = 3 seconds?
13 meters
54 meters
55 meters
45 meters
omit
Question 2
What is the cart's displacement between t = 3 seconds and t = 9 seconds?
414 meters
524 meters
469 meters
208 meters
omit
Question 3
What is the cart's average velocity during the interval t = 3 seconds and t = 9 seconds?
69 m/sec
78.2 m/sec
87.3 m/sec
9.2 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 3 seconds and t = 9 seconds?
72.0 m/sec
33.8 m/sec
105.0 m/sec
33.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 9 seconds?
1.17 x 10
^{1}
m/sec
^{2}
1.2 x 10
^{1}
m/sec
^{2}
5.63 x 10
^{0}
m/sec
^{2}
1.2 x 10
^{1}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 3 seconds and t = 9 seconds?
True
False
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