a ball is dropped from h height and it takes t time to reach the ground. it bounces back with e Find time taken by ball to come to rest?
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Answer:
h=5m
e=
2
1
Let, t be the time taken by ball to fall from height h and t
′
be the time taken by ball to come to rest.
The time taken by ball to fall from height h is
t=
g
2h
t=
10
(2)(5)
t=1sec
Now, the time taken by ball to come to rest is
t
′
=t[
1−e
1+e
]
t
′
=(1)
⎣
⎢
⎢
⎡
1−
2
1
1+
2
1
⎦
⎥
⎥
⎤
t
′
=
2
1
2
3
t
′
=3sec
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