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A stone is thrown vertically upwards wit...

A stone is thrown vertically upwards with an initial speed `u` from the top of a tower, reaches the ground with a speed `3 u`. The height of the tower is :

A

`(v^(2))/(g)`

B

`(2v^(2))/(g)`

C

`(4v^(2))/(g)`

D

`(8v^(2))/(g)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to the third equation of motion
`v^(2)-u^(2)=2as` given `v=3v,u=v and a=g`
or `(3v)^(2)-v^(2)=2gs or s=(4v^(2))/(g)`
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Knowledge Check

  • A stone thrown upward with a speed u from the top of a tower reaches the ground with a velocity 4u. The height of the tower is

    A
    `(15u^(2))/(2g)`
    B
    `(7u^(2))/(2g)`
    C
    `(16u^(2))/(g)`
    D
    Zero

  • A stone dropped from the top of a tower reaches the ground in 3 s. The height of the tower is

    A
    18.6 m
    B
    39.2 m
    C
    44.1 m
    D
    98 m

  • A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about

    A
    80 m
    B
    40m
    C
    20m
    D
    160m