Problem 1. A car traveling in a straight line with an initial velocity of 28 m/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 44 m/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 24 m/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 10 m/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.

Problem 3. Two balls are released simultaneously from the top of a tall building. Ball A is simply dropped with no initial velocity, and ball B is thrown downward with an initial velocity of 12 m/s.

(a) What are the velocities of the two balls 1.25 seconds after they are released?

(b) How far has each ball dropped in 1.5 seconds?

(c) Does the difference in the velocities of the two balls change at any time after their release? Explain.