In: Physics
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.4 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1200 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a) For what time interval is the rocket in motion above the ground? s (b) What is its maximum altitude? km (c) What is its velocity just before it hits the ground? m/s