Thursday, December 3, 2009

A punter drops a ball from rest vertically 1 meter down onto his foot. The ball leaves the foot with a speed of 18 m/s at an angle 55º above the...

Hello!


Denote the impulse of the ball right before a foot strikes it as It is a vector directed downwards with the magnitude of We'll find the speed later.


The resulting impulse (a vector also) has a magnitude where is given. Its direction is also given.


Therefore the impulse delivered by a foot may be found from the equation i.e.



First find the speed The height of a free fall is given by where and the speed is at so




Now decompose the vectors and by horizontal and vertical parts.




Therefore The magnitude of this vector is approx. and the angle above horizontal is °. This is the answer.

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