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Physics Kinematics Level: High School

One dimensional

A test rocket is fired vertically upward from a well . A catapult gives it an initial speed of 80.0 m/s at ground level . Its engineers then fire and it accelerates upward at 4.00 m/s^2 until it reaches an altitude of 1000 m . at that point its engines fall and the rocket goes into free fall , with an acceleration of -9.80 m/s^2 .

a) How long is the rocket in motion above the ground ?

b) What is the maximum altitude ?

c) What is its velocity just before it collides with the earth ?

(you will need to consider the motion while the engine is operating separate form the free-fall motion )