Answer :

To find the maximum height of the football when kicked, we need to break down the motion into vertical and horizontal components and then use the appropriate equations for projectile motion.

Step-by-step solution:

1. Identify the given values:
- Initial velocity (v): 37.6 m/s
- Angle of projection (θ): 73.0°
- Acceleration due to gravity (g): 9.81 m/s²

2. Convert the angle to radians:
Since trigonometric functions use radians in calculations, convert the angle from degrees to radians. However, we'll proceed with the understanding that this conversion is routine.

3. Calculate the vertical component of the initial velocity:
The vertical component (v_y) is found using:
[tex]\[
v_y = v \cdot \sin(\theta)
\][/tex]
Where:
- [tex]\( v = 37.6 \, \text{m/s} \)[/tex]
- [tex]\( \theta = 73.0^\circ \)[/tex]

4. Find the maximum height (h):
Use the formula for maximum height reached in projectile motion:
[tex]\[
h = \frac{{v_y^2}}{{2 \cdot g}}
\][/tex]
Substitute the values:
- Vertical velocity [tex]\( v_y \)[/tex]
- Acceleration due to gravity [tex]\( g = 9.81 \, \text{m/s}^2 \)[/tex]

By performing these calculations, you will determine that the maximum height the football reaches is approximately 65.90 meters. This is how you find the maximum height for a projectile given the initial velocity and launch angle.

Thanks for taking the time to read A football is kicked at 37 6 m s at a 73 0 angle to the horizon What is the maximum height of the ball. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada