A player kicks a football from ground level with an initial velocity of 27.0 m/s, 30.0° above the Horizontal. Find the distance the ball travels before it hits the ground.

Question

asked Jul 1, 2022 78.3k views

1 Answer

RaviRokkam · Answer 1 · 2022-07-07T18:33:14+0000

Answer:

The horizontal distance traveled by the ball before it hits the ground is 64.42 m.

Step-by-step explanation:

Given;

initial velocity, u = 27.0 m/s

angle of projection, θ = 30⁰

The horizontal distance traveled by the ball before it hits the ground is known as Range;

$Range = (u^2 sin(2\theta))/(g) \\\\Range = ((27^2)sin(2 * 30))/(9.8) \\\\Range = 64.42 \ m$

Therefore, the horizontal distance traveled by the ball before it hits the ground is 64.42 m.