A rocket is launched at an angle of 52.0 above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s along its initial line of...

A rocket is launched at an angle of 52.0° above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile.a) Find the maximum altitude reached by the rocket.b) Find its total time.c) Find its horizontal range.