A rocket is launched at an angle of 0= 53° above the horizontal with an initial speed v= 80 m/s, as shown below. It moves for 25

Question

A rocket is launched at an angle of 0= 53° above the horizontal with an initial speed v= 80 m/s, as shown below. It moves for 25 s along its initial line of motion wth an acceleration of 25.2 m/s². At this time, its engines fail and the rocket proceeds to move as a free body.  
(a) What is the rocket's maximum altitude?
(b) What is the rocket's total time of flight?
(c) What is the rocket's horizontal range?

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