A catapult launches a test rocket vertically upward from a well,giving the rocket an initial speed of 79.2 m/s at ground level. Theengines then fire, and the rocket accelerates upward at 3.90m/s2 until it reaches an altitude of 1060 m. At thatpoint its engines fail, and the rocket goes into free fall, with anacceleration of −9.80 m/s2. (You will need to considerthe motion while the engine is operating and the free-fall motionseparately.)
(a) For what time interval is the rocket in motion above theground?
(b) What is its maximum altitude?
(c) What is its velocity just before it hits the ground?
