A kid throws a ball over the house to reach the net hepositioned a meters away f

Question

A kid throws a ball over the house to reach the net hepositioned a meters away from the other side of the house. If heaccidentally throws the ball so that it slides up over and over theroof of the house, what velocity dose he need to throw the ball ifthe roof makes an angle with the horizontal, and thecoefficient of kinetic friction between the ball and the roof is? Assume that the kid is initially b meters away from thehouse and that the initial velocity is the velocity that hits theroof. (use the figure below)

Explanation / Answer

the loss in energy of the ball during the motion on the roof andis =mgcos*x/cos=mg*x so he need to supply the ball the extra K.E over mgy so total K.E is mgy+mgx this is that only in verticaldirection hence horizontal K.E is (mgy+mgx)/tan2 tan=y/b+x

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