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}
- 2t + 8. What would be its instantaneous position at t = 2 seconds?
32 meters
24 meters
28 meters
10 meters
omit
Question 2
What is the cart's displacement between t = 2 seconds and t = 9 seconds?
337 meters
525 meters
589 meters
557 meters
omit
Question 3
What is the cart's average velocity during the interval t = 2 seconds and t = 9 seconds?
79.6 m/sec
84.1 m/sec
75 m/sec
4.6 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 2 seconds and t = 9 seconds?
124.0 m/sec
26.0 m/sec
98.0 m/sec
45.9 m/sec
omit
Question 5
What would be its instantaneous acceleration at 9 seconds?
1.4 x 10
^{1}
m/sec
^{2}
1.38 x 10
^{1}
m/sec
^{2}
6.56 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 = 2 seconds and t = 9 seconds?
False
True
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