tennis ball example/coefficient of restitution

dopey9

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Jul 14, 2006
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a tennis ball is hit from a height h above the ground with a speed V and at an angle alpha to the horizontal. it hits a wall at a horizontal distance d away . Air resistance is negligible

i was told to find expressions for the height and velocity of the ball for which i did shown below

Vx = Vo*cos(alpha)

Where :
Vo is the initial velocity
alpha is the launch angle
Vx is the x component of velocity

Vy = Voy*sin(alpha) - g*t

From the pythagorean theorem V = sqrt(Vx^2+Vy^2)

X = Vo*cos(alpha)*t
Y = Vo*sin(alpha)*t - 1/2*g*t^2

Assuming that i started at (x,y) = (0,0) i will then end upat the point (D,h)

that was the first part of the quesiton...but the part im stuck on is ...auusuming that the coefficient of restitution between the tennis ball and the wall is e, i need to write down an expression for te the velocity of the ball immediately after impact......is there anyone that can help ???thankz
 
the solution lies in the definition for the coefficient of restitution ... e = v<sub>f</sub>/v<sub>o</sub>,
where v<sub>o</sub> and v<sub>f</sub> are the scalar components (speeds) of the respective impact and post impact velocities.
 
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