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