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
^{3}
+ 5t
^{2}
- 9t - 3. What would be its instantaneous position at t = 5 seconds?
750 meters
775 meters
917 meters
8 meters
omit
Question 2
What is the cart's displacement between t = 5 seconds and t = 11 seconds?
9604 meters
8687 meters
7770 meters
1527 meters
omit
Question 3
What is the cart's average velocity during the interval t = 5 seconds and t = 11 seconds?
1295 m/sec
1447.8 m/sec
1600.7 m/sec
152.8 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 5 seconds and t = 11 seconds?
606.3 m/sec
1788.0 m/sec
509.0 m/sec
2297.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 11 seconds?
2.09 x 10
^{2}
m/sec
^{2}
2.98 x 10
^{2}
m/sec
^{2}
5.06 x 10
^{2}
m/sec
^{2}
1.01 x 10
^{2}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 5 seconds and t = 11 seconds?
False
True
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