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Read the given passage and answer the fo...

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.

A

`u/12`

B

`u/2`

C

`u/6`

D

`u/3`

Text Solution

Verified by Experts

The correct Answer is:
D
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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.

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Knowledge Check

  • A stone projected upwards with a velocity u reaches two points P and Q separated by a distance h with velocities u//2 and u//3 . The maximum height reached by it is

    A
    `(9h)/(5)`
    B
    `(18h)/(5)`
    C
    `(36h)/(5)`
    D
    `(72h)/(5)`

  • A body is thrown vertically upward with velocity u . The ratio of times at which it is at particular height h is 1 : 2 . What is the maximum height reached by the body above point of projection ?

    A
    `(9//4)h`
    B
    `(4//3)h`
    C
    `(9//8) h`
    D
    none of these

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