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A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

a
h(1+e21-e2)
b
h(1-e21+e2)
c
h21−e21+e2
d
h2(1+e21-e2)

detailed solution

Correct option is D

Particle falls from height ft then formula for height covered by it in nth rebound is given byhn = he2nwhere e = coefficient of restitution, n = No. of rebound Total distance travelled by particle before rebounding  has stopped: H=h+2h1+2h2+2h3+2hn+……=h+2he2+2he4+2he6+2he8+……=h+2he2+e4+e6+e8+……=h+2he21−e2=h1+2e21−e2=h1+e21−e2

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