A car starts from rest at a traffic signal and follows the time schedule given below while moving along a straight road:
• It accelerates uniformly at 1.5m s−2 for 8s.
• It then travels with the constant speed attained for the next 12s.
• Finally, the driver applies the brakes, producing a constant retardation of 2.5m s−2 until the car comes to rest.
Taking the starting point as the origin and the positive x-direction as the direction of motion, answer the following:
(a) Find the maximum speed reached by the car.
(b) Calculate the distance covered during each of the three stages.
(c) Determine the total displacement of the car from the traffic signal to the point where it finally stops.
a. (a) Find the maximum speed attained.
b. (b) Calculate the distance covered in each stage.
c. (c) Determine the total displacement for the complete journey.