Problem 1- The race car stars from rest at s = 0 and travels along a straight road. Its v-t graph is obtained as shown. The flat part of the graph is caused by shifting gears. Determine the acceleration, velocity, and position, i.e., a(t), v(t), s(t), of the race car as functions of time between 0 to 8 seconds.
Problem 2- A particle moves a long a straight line. It starts with an initial velocity of 2 m/s with a constant acceleration of 4 m/s2. Once its velocity reaches 6 m/s, it decelerates at a = - 1 .5v1/2 m/s2 until it stops. Determine how far the particle has traveled during the entire process, and the total time of travel.