Question

A ball is projected from a point on the floor with a speed of 15 m/s at an angle of ${60}^2$ with the horizontal. Will it hit a vertical wall 5 m away from the point of projection and perpendicular to the plane of project ionm without hitting the floor ? Will the answer differ if the wall is 22 m away ?

Answer 1

Here u = 15 m/s, $\theta ={60}^2,g=9.8m/s^2$

Horizontal range,

x = $\frac{u^{2}sin29}{g}$

= $\frac{\left(15\right)2sin(2\times {60}^0)}{g}$

= 19.88 m

In the first case the wall is 5 m away from projection point, so it is in the horizontal range of projectile, So the ball will hit the wall.

In the second case (22 m away) wall is not within the horizontal range. So the ball would not hit the wall