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?

Explanation

`H= 25 m u= 40 m//s`,
`H=u^2 sin^2 theta/(2g)` i.e 25 = `(40^2) sin^2 theta / (2xx9.8)`
on solving `theta = 33.6^@`
and
` R=u^2 sin 2 theta/(g) = (40)^2 sin 2 (33.6)/(9.8)` m= 150.5m