Answer:
The velocity of ball is 20.63 m/s.
Explanation:
Given that,
Mass of football player = 95.0 kg
Mass of ball = 0.430 kg
Distance = 0.538
We need to calculate the time
Using equation of motion
[tex]s = ut+\dfrac{1}{2}gt^2[/tex]
[tex]0.538=0+\dfrac{1}{2}\times9.8\times t^2[/tex]
[tex]t^2=\dfrac{2\times0.538}{9.8}[/tex]
[tex]t=\sqrt{\dfrac{2\times0.538}{9.8}}[/tex]
[tex]t=0.33\ sec[/tex]
We need to calculate the velocity
Using formula of velocity
[tex]s=v\times t[/tex]
[tex]v=\dfrac{s}{t}[/tex]
Put the value into the formula
[tex]v=\dfrac{0.0307}{0.33}[/tex]
[tex]v=0.093\ m/s[/tex]
We need to calculate the velocity of ball
Using conservation of momentum
[tex]m_{1}v_{1}+m_{2}v_{2}=mv[/tex]
Put the value into the formula
[tex]95.0\times0.093+0.430\times0.093=0.430\times v[/tex]
[tex]v=\dfrac{8.87499}{0.430}[/tex]
[tex]v=20.63\ m/s[/tex]
Hence, The velocity of ball is 20.63 m/s.
