Home
Class 11
PHYSICS
A ball is thrown vertically up with a ve...

A ball is thrown vertically up with a velocity `u`. It passes three points `A, B` and `C` in its upward journey with velocities `u/s,u/3` and `u/4`, respectively. Find `(AB)/(BC)`.

A

1

B

2

C

`10/7`

D

`20/7`

Text Solution

Verified by Experts

The correct Answer is:
D
`A rArr v^2 = u^2 - 2gh_1 rArr -2gh_1 = (u/2)^2 - u^2 = (-3u^2)/(4)`
`rArr h_1 = (3u^2)/(2g(4))`
`B rArr (u/3)^2 - u^2 = -2gh_2 rArr h_2 = (8u^2)/(2g(9))`
`C rArr (u/4)^2 - u^2 = -2gh_3 rArr h_3 = (15u^2)/(2g(16))`
`AB = (u^2)/(2g) [ 8/9 - 3/4]`
`BC = (u^2)/(2g) [ 15/16 - 8/9]`
`(AB)/(BC) = 5/36 xx (16xx9)/(7) = 20/7`
Promotional Banner

Similar Questions

Explore conceptually related problems

A player throws a ball vertically upwards with velocity u. At highest point,

A body is thrown vertically upward with velocity u , the greatest height h to which it will rise is,

Read the given passage and answer the following questions. A body is thrown vertically up with a velocity u as shown in the figure. It passes through points P and Q in its upward journey and reaches the maximum height at point R. Here (PQ)/(PR)=7/16 , OP = (2u^2)/45 , and take g=10 m//s^2 Find the velocity of the particle at point P.

Read the given passage and answer the following questions. A body is thrown vertically up with a velocity u as shown in the figure. It passes through points P and Q in its upward journey and reaches the maximum height at point R. Here (PQ)/(PR)=7/16 , OP = (2u^2)/45 , and take g=10 m//s^2 Find the time taken by the particle to reach highest point R.

A body is thrown vertically upwards with a velocity u . Find the true statement from the following

An object is thrown upward with a velocity u , then displacement -time graph is

A ball is thrown vertically upward with a velocity u from the top of a tower. If it strikes the ground with velocity 3u, the time taken by the ball to reach the ground is

A body is thrown vertically upward with velocity u . The distance traveled by it in the fifth and the sixth second are equal. The velocity u is given by