Question

A fire hose ejects a stream of water at an angle of 50.0 above the horizontal. The water behaves like a projectile, what is the highest place on the building the water can reach if the truck is located 30 m away from the building

Answer 1

Gives

$\theta=50°$

Range=30 meter

We know that

Range

$R=\frac{u^2sin2\theta}{g}$

Put value

$30=\frac{u^2sin100°}{9.8}$

$u^2=\frac{30\times9.8}{sin100°}=298.53m/sec$

$u=17.28m/sec$

Maximum highest place building of the water H_max

$H=\frac{u^2sin^2\theta}{2g}$

Put value

$$H=\frac{{17.28}^2sin^2100}{2\times9.8}=15.0m$$