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) = 7t
^{2}
- 3t + 11. What would be its instantaneous position at t = 3 seconds?
65 meters
54 meters
14 meters
63 meters
omit
Question 2
What is the cart's displacement between t = 3 seconds and t = 10 seconds?
333 meters
746 meters
681 meters
616 meters
omit
Question 3
What is the cart's average velocity during the interval t = 3 seconds and t = 10 seconds?
88 m/sec
97.3 m/sec
106.6 m/sec
9.3 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 3 seconds and t = 10 seconds?
137.0 m/sec
98.0 m/sec
46.4 m/sec
39.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 10 seconds?
1.37 x 10
^{1}
m/sec
^{2}
1.4 x 10
^{1}
m/sec
^{2}
6.63 x 10
^{0}
m/sec
^{2}
1.4 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 = 10 seconds?
False
True
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