A car is traveling at the posted speed limit of 6.70 m/s (15 miles/h) in a school zone. The car passing a school bus when a child darts out from in front of the bus. The car is 10.0 m from the child when the driver of the car applies the brakes. The car decelerates at a constant rate of 4.00 m/s2 until coming to a halt. Calculate the
(a) distance of the car travels while decelerating and
(b) distance required to stop if the car is initially traveling at 13.4 m/s (30.0 miles/h).