Afootball is launched at 40 m/s, at an angle from the ground. what should the angle be such that maximum height of the trajectory of the football is 10 m?

The football must be launched whit an angle of 20,487 degrees to reach a maximum height of 10 meters.

Explanation:

To solve this problem we use the parabolic motion equations:

We define:

: total initial speed  =

:initial speed component in vertical direction (y) =

: vertical speed at any point on the parabolic path

g= acceleration of gravity= 9,8

= angle that forms the total initial velocity with the ground

Equation of the speed of the football in the vertical direction :

 Equation (1)  

We replace,  in the equation (1):

Equation(2)

Angle calculation

The speed of the football in the vertical direction gradually decreases until its value is zero when it reaches the maximum height.

We replace , in the equation (2)

°

The football must be launched whit an angle of 20,487 degrees to reach a maximum height of 10 meters.

d.7.5cm is your answer