A test rocket is firedvertically upward from a well. A catapult gives it an initial speedof 79.8 m/s at ground level. Its engines then fire and itaccelerates upward at 4.10 m/s2 until it reaches an altitude of1060 m. At that point its engines fail, and the rocket goes intofree fall, with an acceleration of -9.80 m/s2. (You will need toconsider the motion while the engine is operating separate from thefree-fall motion.)
(a) How long is the rocket in motion above the ground?
(b) What is its maximumaltitude?
(c) What is its velocityjust before it collides with the Earth?