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lara31 [8.8K]
3 years ago
6

from the edge of the rooftop of a building, a boy thros a stone at an angle of 25 above the horizontal. The stone hits the groun

d 4.2s later, 105m away from the base of the builing. Find the final speed of the stone
Physics
1 answer:
ella [17]3 years ago
6 0

Answer:38.675 m/s

Explanation:

\theta =25^{\circ}

t=4.2 s

R_x=105m

Solving in x direction

R_x=ut+\frac{1}{2}\left ( 0\right )t^2

105=ucos25\times 4.2

ucos25=25

u=27.584 m/s

Initial velocity in vertical direction usin25

Let h be the height of Rooftop

h=\left ( -usin25\right )4.2+\frac{1}{2} \left ( 9.8\right )\left ( 4.2\right )^2

h=37.47 m

Therefore final vertical velocity is v_{vf}^2-\left ( usin25\right )^2=2\times 9.81\times 37.47

v_{vf}=29.51 m/s

Final Resultant velocity

V_{final}=\sqrt{29.51^2+24.99^2}

V_{final}=38.675 m/s

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