A car traveling due west on a straight road accelerates at a constant rate for 10 seconds increasing its velocity from 0 to 24 m/s. It then travels at a constant speed for 10 seconds and then decelerates at a steady rate for the next 5 seconds to a velocity of 10 m/s. It travels at this velocity for 5 seconds and then decelerates rapidly to a stop in a time of 2 seconds.
a. Sketch a graph of the car’s velocity versus time for the entire motion just described. Label the axes of your graph with the appropriate velocities and times.
b. Sketch a graph of acceleration versus time for the car.
c. Does the distance traveled by car continually increase in the motion described? Explain.