A catapult launches a test rocket vertically upward from a well,giving the rocket an initial speed of 80.8 m/s at ground level. Theengines then fire, and the rocket accelerates upward at 4.20 m/s2until it reaches an altitude of 990 m. At that point its enginesfail, and the rocket goes into free fall, with an acceleration of❝9.80 m/s2. (You will need to consider the motion while the engineis operating and the free-fall motion separately.)
(a) For what time interval is the rocket in motion above theground? s
(b) What is its maximum altitude? km (
c) What is its velocity just before it hits the ground? m/s