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Projectile Motion with Coefficient of Restitution

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The ball is ejected from the tube with a horizontal velocity of v1= 8ft/s as shown. If the coefficient of restitution between the ball and ground is e=0.8, determine (a) the velocity of the ball just after it rebounds from the ground and (b) the maximum height to which the ball rises after the first bounce (see attachment for diagram).

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This solution includes four steps of calculations to find (a) and (b).

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Initial height H = 3 ft
The horizontal direction will be tangential for the ground, and no force is acting in the horizontal direction (like gravity acting in the vertical direction), therefore, ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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