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
^{3}
+ 2t
^{2}
- 9t - 6. What would be its instantaneous position at t = 2 seconds?
8 meters
68 meters
84 meters
64 meters
omit
Question 2
What is the cart's displacement between t = 2 seconds and t = 10 seconds?
8284 meters
8368 meters
8200 meters
4290 meters
omit
Question 3
What is the cart's average velocity during the interval t = 2 seconds and t = 10 seconds?
10.5 m/sec
1025 m/sec
1035.5 m/sec
1046.0 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 2 seconds and t = 10 seconds?
786.4 m/sec
113.0 m/sec
2449.0 m/sec
2336.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 10 seconds?
9.83 x 10
^{1}
m/sec
^{2}
2.92 x 10
^{2}
m/sec
^{2}
2.45 x 10
^{2}
m/sec
^{2}
5.2 x 10
^{2}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 2 seconds and t = 10 seconds?
True
False
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