A particle starts at the origin at time t = 0 and moves with velocity v(t) as

Question:

A particle starts at the origin at time t = 0 and moves with velocity v(t) as shown in Figure 5.
(a) How many times does the particle return to the origin in the first 12 seconds?
(b) What is the particle’s maximum distance from the origin?
(c) What is the particle’s maximum distance to the left of the origin?

4 2 -2 -4 vt) (m/s) 5 10