Suppose a mass M is dropped from a height H (neglect air resistance). The first collision of the mass
with the ground is perfectly elastic. But from there onward, the coefficient of restitution gets scaled
by a factor of β for every collision (β < 1). Then the time of flight of the mass is (
3 − aβ
1 − cβ )
√2H
g
.
What is the value of a + c?
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Answer:
a+c=ac+bc=ab
Explanation:
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