A catapult launches a rocket at an angle of 53.0° above the horizontal with an initial speed of 100 m/s. The rocket engine immediately starts a burn and for 3.00 s the rocket moves along its initial line of motion with an acceleration of 30.0 m/s2. Then its engine fails and the rocket proceeds to move in free fall. Find (a) the maximum altitude reached by the rocket (b) its total time of flight and (c) its horizontal range.
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