A vehicle travelling on a straight path has, at time t0 =
0, a velocity v0 = 40 m/s and acceleration a0 = 5 m/s2 . It then
experiences a linearly decreasing acceleration in time to a value
of a = 0 at t = 6 s. Next, it travels a distance s2 = 550 m in
uniform motion (constant velocity) and finally in a third phase of
travel it is uniformly decelerated with an acceleration a3 = -11
m/s2 until it stops. (a) At what time and in what location does the
vehicle come to a stop? (b) Sketch the acceleration-, velocity-,
and position-time diagrams.