Question

a bouncing ball rebound each time to a height one half that of previous one. it is dropped from a height of 5m ,the total distance travelled by a ball just before 3rd collision with ground is​

Answer 1

Answer:

Given

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