A catapult on a clifflaunches a large round rock towards a ship on the ocean bel

Question

A catapult on a clifflaunches a large round rock towards a ship on the ocean below. Therock leaves the catapult from a height H of 33.0 m above sea level,directed at an angle above the horizontal with an unknownspeed v0. The projectile remains in flight for 6.00 seconds and travelsa horizontal distance D of 164.0 m. Assuming that air friction canbe neglected, calculate the value of the angle .


I need to find the angle, but I am having trouble finding sampleproblems that solve for the angle. Usually the angle is given. Iknow that I need to find the two velocity components in order tofind the angle, but I am really confused. Any help would be greatlyappreciated.

Explanation / Answer

      height, h = 33 m       initial velocity , u =Vo       horizontal distance, X =164 m       time of travel , t =6s       angle of projection =       X = ( u cos ) t       164 = ( Vo cos ) 6 .........(1)       from equ of motion -h = ( u sin ) t - (1/2) g t 2                                  -33= ( Vo sin ) 6 - 4.9 ( 36)    ...............(2)       Solve equ (1) and(2)    for '' and 'Vo'                                  -33= ( Vo sin ) 6 - 4.9 ( 36)    ...............(2)       Solve equ (1) and(2)    for '' and 'Vo'

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