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 = 2.

c. Use geometry to find the displacement of the object between t = 2 and t = 5. 

d. Assuming that the velocity remains 10 m/s, for t ≥ 5, find the function that gives the displacement between t = 0 and any time t ≥ 5.

VA 3 4 6 t Time (s) Velocity (m/s)