A particle falls from a height h on a fixed horizontal plate and rebounds. If e is the coefficient of restitution, the total distance travelled by the particle before it stops rebounding is
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a
h1+e21−e2
b
h1−e21+e2
c
h1−e221+e2
d
h1+e221−e2
answer is A.
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Detailed Solution
The total distance traveled is S=h+2e2h+2e4h+2e6h+…=h+2he2+e4+e6+…=h+2he21−e2=h1+2e21−e2=h1+e21−e2Hence the correct choice is (1).