Question

If you kick a football, at what angle to the ground should you kick the ball for the maximum range - that is, the greatest distance down the field?

Answer 1

Answer:

45 degree from the ground      

Explanation:

Range in a projectile motion is the distance traveled by the body in the horizontal distance when thrown form a point in the air.

The range of the projectile if given by,

$R = \frac{u^{2} sin 2\theta }{g}$

where u = initial velocity

          θ = angle of projection

          g = acceleration due to gravity

Now we known that sine of 90 degree is 1 which is maximum.

Therefore,

sin 2θ = 1

sin 2(45°) = 1

sin 90° = 1

Therefore, placing the value of sin 2(45°) = 1 in the below eqyuation we get,

$R_{max} = \frac{u^{2} }{g}$

Hence the answer is --- 45 degree