The position, x (in m), of an object that moves along a straight line is changing with time, t (in s), as x=16−12t+2t2.
a. Make a plot of velocity vs. time from t=0 to t=6s
b. Make a plot of acceleration vs. time from t=0 to t=6s
c. When is the velocity zero and what then is the position of the object?
d. What is the average velocity between t=−1 to t=3.
e. At what time the object reverses its direction.
f. What is the average speed between t=0 to t=6.