Bridging Problem A model rocket is fired straight up from the top of a 50-m-tall building. The rocket has only enough fuel to burn for 2 s. But while the rocket engine is burning fuel, it produces an upward acceleration of 50 m/s². After the fuel supply is exhausted, the rocket is in free fall and just misses the edge of the building as it falls back to the ground. Ignoring air resistance, calculate (a) the height above the ground and the velocity of the rocket when its fuel runs out; (b) the maximum height of the rocket; (c) the time the rocket is in the air; and (d) the rocket's velocity the moment before it hits the ground.

Bridging Problem A model rocket is fired straight up from the top of a 50-m-tall building. The rocket has only enough fuel to burn for 2 s. But while the rocket engine is burning fuel, it produces an upward acceleration of 50 m/s². After the fuel supply is exhausted, the rocket is in free fall and just misses the edge of the building as it falls back to the ground. Ignoring air resistance, calculate (a) the height above the ground and the velocity of the rocket when its fuel runs out; (b) the maximum height of the rocket; (c) the time the rocket is in the air; and (d) the rocket's velocity the moment before it hits the ground.