1) 1.33 s
2) 8.6 m
3) 19.9 m
Explanation:
1)
The motion of the football is a projectile motion, which consists of two independent motions:
- A uniform motion (=constant velocity) along the horizontal direction
- A uniformly accelerated motion (=constant acceleration) along the vertical direction
The hang time of the football is the time it takes for the football to reach its maximum height. It is given by:

where
is the initial vertical velocity of the ball, where
u = 15 m/s is the initial velocity
is the angle of projection of the ball
is the acceleration due to gravity
Substituting, we find the hang time:

2)
The motion of the ball along the vertical direction is a uniformly accelerated motion, so we can use the suvat equation:

where:
s is the vertical displacement
is the initial vertical velocity
t is the time
is the acceleration due to gravity
In this part, we want to find the maximum height, so the height reached by the ball when the time is
t = 1.33 s
Therefore, by substituting the values in the equation, we can find the maximum height:

3)
Here we want to find the horizontal range covered by the ball during its flight.
The horizontal range for a projectile is given by the equation

where
u is the initial velocity
is the angle of projection
g is the acceleration due to gravity
For the ball in this problem we have:
u = 15 m/s


Substituting into the equation, we find the horizontal distance covered by the ball:
