Question

a car traveling on a straight road accelerates uniformly at a meter per second square from its initial speed of 20 meter per second until it reaches a speed of 30 meter per second. the car travels at this speed for 600 meter and then decelerates uniformly at 0.5a meter per second square until it comes to rest.show that the time spent decelerating is six times as long as the time spent accelerating. the total distance traveled by the car from time t=0 until it comes to rest in 2900 meter. find the time for which the car is accelerating.find the value of a. find the speed of the car 40 second before it comes to rest.