Afireman, d = 50.8 m away from a burning building, directs a stream of water from a ground level fire hose at an angle of 33.3 ◦ above the horizontal. 50.8 m 44 m/s 33.3 above the horizontal.
if the speed of the stream as it leaves the hose is 44 m/s, at what height will the stream of water strike the building?
the acceleration due to gravity is 9.8 m/s 2 . answer in units of m.

Total height at which stream can strike building is 24.02 m

Explanation:

Given data:

velocity of stream of water v = 44 m/s

Projection angle 33.3 degree

distance between fireman and building is 50.8 m

component of velocity is

      = 44 cos 33.3 = 36.775 m/s

time taken stream to reach building is

Hence,  the vertical distance covered by stream in time 1.381 sec iis

s  = 24.02 m

therefore, total height at which stream can strike building is 24.02 m