Problem 1. A car traveling in a straight line with an initial velocity of 28m/s accelerates at a rate of 2.0 m/s2 to a velocity of 44m/s. (a) How much time does it take for the car to reach the velocity of 44m/s? How much time does it take to reach the velocity of 31 m/s (b) What is the distance covered by the car in this process? (c) Compute values of the distance traveled at 2-second intervals and carefully draw a graph of distance plotted against time for this motion. Problem 2. A car traveling due west on a straight road accelerates at a constant rate for 20 seconds increasing its velocity from 0.5 km/h to 24m/s. It then travels at constant speed for 12 seconds and then decelerates at a steady rate for the next 5 seconds to a velocity of 10m/s. It travels at this velocity for 5 seconds and then decelerates rapidly to a stop in a time of 1.5 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 the car continually increase in the motion described? Explain