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
^{3}
+ 4t
^{2}
- 10t - 6. What would be its instantaneous position at t = 4 seconds?
546 meters
448 meters
10 meters
464 meters
omit
Question 2
What is the cart's displacement between t = 4 seconds and t = 11 seconds?
2661 meters
9905 meters
9359 meters
10451 meters
omit
Question 3
What is the cart's average velocity during the interval t = 4 seconds and t = 11 seconds?
1337 m/sec
1415.0 m/sec
1493.0 m/sec
78.0 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 4 seconds and t = 11 seconds?
2639.0 m/sec
764.0 m/sec
2261.0 m/sec
378.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 11 seconds?
1.09 x 10
^{2}
m/sec
^{2}
3.23 x 10
^{2}
m/sec
^{2}
2.4 x 10
^{2}
m/sec
^{2}
5.5 x 10
^{2}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 4 seconds and t = 11 seconds?
False
True
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