Physics, 06.01.2020 02:31, sagetpc68741

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

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answered: fdasbiad

5.17 m

Explanation:

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

$V_{y}=0 m/s$

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:

$(V_{y})^{2}=(V_{oy})^{2}-2gy_{max}$

Where:

$V_{y}=0$ is the final velocity

$V_{oy}=V_{o} sin(32\°)$ is the vertical component of the initial velocity

$V_{o}=19 m/s$ is the initial velocity

$g=9.8 m/s^{2}$ is the acceleration due gravity

$y_{max}$ is the football's maximum height

Isolating $y_{max}$ :

$y_{max}=\frac{(V_{o} sin(32\°))^{2}}{2g}$

$y_{max}=\frac{(19 m/s sin(32\°))^{2}}{2(9.8 m/s^{2})}$

Finally:

$y_{max}=5.17 m$ This is the football's maximum height

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answered: Guest

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Apunter kicks a football from the ground with a velocity of 19 m/s at an angle 32 degrees from the h...