Two cars move in opposite directions toward each other on a level, straight, one-lane road. when both drivers begin to brake, their front bumpers are 275 meters apart. the smaller car is initially moving at 25.0 m/s and the larger is initially moving at 30.0 m/s. the magnitude of the acceleration of the larger car is 20.0% greater than the magnitude of the acceleration of the smaller. determine the magnitude of acceleration for each car such that when their front bumpers touch, they have just come to rest.

Aballoon is rising vertically upwards at a velocity of 10m/s. when it is at a height of 45m from the ground, a parachute bails out from it. after 3s he opens his parachute and decelerates ata a constant rate 5m/s.when. (a) what was the height of the parachutist above the ground when he opened his parachute? (b)how far is the parachutist from the balloon at t=3s? (c)with what velocity does the parachutist hit the ground? (d)after how long does the parachutist hit the ground after his exist from the balloon?