The United States and South Korean soccer teams are playing in the first round of the World Cup. An American kicks the ball, giving it an initial velocity of 3.6 m/s. The ball rolls a distance of 5.0 m and is then intercepted by a South Korean player. If the ball accelerates at −0.50 m/s2 while rolling along the grass, find its velocity at the time of interception.

Respuesta :

Answer:v=2.82 m/s

Explanation:

Given

initial velocity of ball(u)=3.6 m/s

ball rolls a distance(s) of 5 m

ball acceleration [tex]=-0.5 m/s^2[/tex]

Velocity of ball when it is intercepted by Korean player

[tex]v^2-u^2=2as[/tex]

[tex]v^2=3.6^2+2(-0.5)(5)=7.96[/tex]

[tex]v=\sqrt{7.96}[/tex]

[tex]v=2.82 m/s[/tex]

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