Question

A ball is projected from a point on the floor with a speed

of 15 m/s at an angle of 60° with the horizontal. Will it

hit a vertical wall 5 m away from the point of projection

and perpendicular to the plane of projection without

hitting the floor ? Will the answer differ if the wall is

22 m away ?​

Answer 1

Solution :

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u=15m/s

θ=60°

g=9.8m/s2

Horizontal Range, x=u²sin2θ/g

x=15x15 sin120°/9.8

=225x√3/2x9.8

x=225x1.73/19.6

x=19.8m

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

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

Hope helps