Physics: Kyle, a 80.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.538 meters off the ground. He hits the ground 0.0409 meters away from where he leapt. If the ball was moving horizontally when it was caught, how fast was the ball traveling

if weight affects how fast they go?Explanation:...

Kyle, a 80.0 kg football player, leaps straight up

sarah8479

20.01.2022

The velocity of ball is 23.19 m/s

Explanation:

Given that,

Mass of football player = 80.0 kg

Mass of ball = 0.430 kg

Distance = 0.538

We need to calculate the time

Using equation of motion

$s = ut+\dfrac{1}{2}gt^20.538=0+\dfrac{1}{2}\times9.8\times t^2t^2=\dfrac{2\times0.538}{9.8}t=\sqrt{\dfrac{2\times0.538}{9.8}}t=0.33\ sec$

We need to calculate the velocity

Using formula of velocity

$s=v\times tv=\dfrac{s}{t}\\Put the value into the formula\\v=\dfrac{0.0409}{0.33}\\v=0.124\ m/s\\$

We need to calculate the velocity of ball

Using conservation of momentum

$m_{1}v_{1}+m_{2}v_{2}=mv$

Put the value into the formula

$80.0\times0.124+0.430\times0.124=0.430\times v\\v=\dfrac{9.97332}{0.430}\\v=23.19\ m/s$

The velocity of ball is 23.19 m/s

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