Apunter kicks a football from the ground with a velocity of 19 m/s at an angle 32 degrees from the horizontal the football travels a horizontal distance of 33m before it hits the ground what is the maximum height the football reaches

5.17 m

Explanation:

The football reaches its maximum height when the vertical component of the velocity is zero:

This is exactly at the point where the football stops and then begins to fall thanks to the acceleration due gravity.

So, we can use the following equation:

Where:

is the final velocity

is the vertical component of the initial velocity

is the initial velocity

is the acceleration due gravity

is the football's maximum height

Isolating :

Finally:

This is the football's maximum height