After the traffic light turns green, a car starts from rest and accelerates at a constant rate for 7 seconds.During this time the car travels 37 meters. Then the car travels at a constant speed for 15 seconds. Then the driver notices a red light 25 meters ahead and slams on the brakes. Assume the car decelerates at a constant rate and comes to a stop some time later just at the red light.
(a) What was the initial acceleration of the car?
(b) What was the velocity at the car after 7 seconds?
(c) What was the braking acceleration of the car? What was the direction of the acceleration?
(d) How long did the car brake?
(e) What was the distance from the first traffic light to the second traffic light?
(f) What is the average velocity of the car during the entire trip?
(g) Make a graph of the position vs. time for the entire trip.
(h) Make a graph of the velocity vs. time for the entire trip.
(i) Make a graph of the acceleration vs. time for the entire trip.