Question

A football player hits the ball with a speed of 20 m s^-1 with an angle of 30° with respect to horizontal direction as shown in the figure. The goal post is at a distance of 40 m from him. Find out whether the ball reaches the goal post?

 

Answer 1

Given:

Initial speed (u) = 20 ms^-1

The angle of projection (θ) = 30°

The distance of the goal post = 40 m

Solution:

Range of the projectile R = `(u^2 sin2theta)/g = (400 xx sin 60^circ)/9.8 = (400 xx sqrt3/2)/9.8` = 35.35 m

The distance of the goal post is 40 m. But the range of the ball is 35.35 m only. So the ball will not reach the goal post.