Question

The ceiling of a long hall is $25m$ high. What is the maximum horizontal distance that a ball thrown with a speed of $40m/s$ can go without hitting the ceiling of the hall ? $(g=10m/s^2)$

Answer 1

$h=\frac{u^{2}si{n}^2\theta }{2g}$

$25=\frac{{40}^{2}si{n}^2\theta }{2g}$

$\theta ={34}^0$

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

$R=\frac{{40}^{2}sin{68}^0}{g}$

$R=148.3m$