A rocket is launched at an angle `53^(@)` to the horizontal with an initial speed of `100ms^(-1)`. It moves along its initial line of motion with an acceleration of `30ms^(-2)` for `3` seconds. At this time its engine falls & the rocket proceeds like a free body. Find:
(i) the maximum altitude reached by the rocket
(ii) total time of flight.
(iii) the horizontal range. `[sin 53^(@) = 4//5]`

Explanation

(i) 1503.2m (ii) 35.54 sec (iii) 3970.56 m