Chapter 5.1, Problem 70E

Displacement from a velocity graph Consider the velocity function for an object moving along a line (see figure).

a.    Describe the motion of the object over the interval [0, 6].

b.    Use geometry to find the displacement of the object between t = 0 and t = 3.

c.    Use geometry to find the displacement of the object between t = 3 and t = 5.

  d.    Assuming the velocity remains 30 m/s, for t ≥ 4, find the function that gives the displacement between t = 0 and any time t ≥ 4.