As part of an obstacle course, an athlete must kick a soccer ball into a 1...

 

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As part of an obstacle course, an athlete must kick a soccer ball into a 1 m wide and 10 m deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race finds that he consistently kicks the soccer ball such that it rolls into a pit with a velocity of 1. He calculates that if he does so, the soccer ball will bounce off the far wall of the pit 4.9 m below the surface and head towards the target. If the coefficient of restitution for the impact of the ball against the far wall of the pit is 0.8, determine the distance x shown where the target would actually have to be placed such that the student would hit the target. The size of the ball and the target are negligible relative to the dimensions of the pit. 10 m 1 m/s Im As part of an obstacle course, an athlete must kick a soccer ball into a 1 m wide and 10 m deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race finds that he consistently kicks the soccer ball such that it rolls into a pit with a velocity of 1. He calculates that if he does so, the soccer ball will bounce off the far wall of the pit 4.9 m below the surface and head towards the target. If the coefficient of restitution for the impact of the ball against the far wall of the pit is 0.8, determine the distance x shown where the target would actually have to be placed such that the student would hit the target. The size of the ball and the target are negligible relative to the dimensions of the pit. 10 m 1 m/s Im