The velocity of a body is given by v(t) = 2t+t3. The body starts from rest at time t = 0 at position s(0) = (2,-10).
What are the position and acceleration of the body as functions of time?
At what time, t, does the body cross the X-axis?
What is the average velocity of the body for the time interval, t = 0 and the time that it crosses the X-axis?
What is the average acceleration of the body for the time interval, t = 0 and the time that it crosses the X-axis?