Asoccer player with a mass of 60 kg is traveling at 8 m/s when he completes a corner kick on a 0.45 kg soccer ball. the soccer ball travels toward the goal at a speed of 35 m/s. in this elastic collision, what is the speed of the soccer player immediately after kicking the ball?
a) 5.4 m/s
b) 7 m/s
c) 7.7 m/s
d) 8 m/s

v = 7.73 m/s

Explanation:

It is given that,

Mass of the player, m₁ = 60 kg

Initial speed of the player, u₁ = 8 m/s

Mass of the soccer ball, m₂ = 0.45 kg

Initial speed of the player, u₂ = 0 (at rest)

After the collision,

Final speed of the player, v₁

Final speed of the ball, v₂ = 35 m/s

Using the conservation of linear momentum to find the final speed of the player. Mathematically, it is given by :

So, the speed of the soccer player immediately after kicking the ball is 7.73 m/s. Hence, this is the required solution.