Water from a garden hose that is pointed 25 o abovethe horizontal lands directly

Question

Water from a garden hose that is pointed 25o abovethe horizontal lands directly on a sunbather lying on the ground4.4m away in the horizontal direction. If the hose is held1.4m above the ground, at what speed does the water leave thenozzle? answer: 5.8m/s Water from a garden hose that is pointed 25o abovethe horizontal lands directly on a sunbather lying on the ground4.4m away in the horizontal direction. If the hose is held1.4m above the ground, at what speed does the water leave thenozzle? answer: 5.8m/s

Explanation / Answer

height h = 1.4 m Horizontal range R = 4.4 m angle = 25 degrees let the initial velocoty be v In horizontal direction : ---------------------- velocity = v cos 25 distance S = R = 4.4 m time t = S / v cos 25           = 4.854/ v     ---( 1) In vertical direction : -------------------- Initial velocity u = - v sin 25 = -0.4226 v accleration a= g time t= 4.854 / v distance S = h = 1.4 m from the relation S = ut + ( 1/ 2) a t ^ 2                    1.4 = (- 0.4226v * 4.584 / v ) +( 1/ 2) ( 9.8 ) ( 4.854 / v ) ^2                    1.4 = -1.937  + 115.45 / v ^ 2                       v = 5.88 m / s

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