Question

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.

Answer 1

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 $=-0.5 m/s^2$

Velocity of ball when it is intercepted by Korean player

$v^2-u^2=2as$

$v^2=3.6^2+2(-0.5)(5)=7.96$

$v=\sqrt{7.96}$

$v=2.82 m/s$