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Vertical rise or fall of a particle unde...

Vertical rise or fall of a particle under gravity is governed by the equations : (i) v =u +gt, (ii) h = ut + `(1)/(2) "gt"^(2)` , and (iii) `v^(2)= u^(2) +2gh` the symbols having their usual meanings. Then for a particle dropped from the top of a tower and falling freely. choose the correct options:
(i) The distance covered by it after n seconds is directly proportional to

A

`n^(2)`

B

n

C

2n-1

D

`2n^(2)-1`

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The correct Answer is:
A
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Knowledge Check

  • Vertical rise or fall of a particle under gravity is governed by the equations : (i) v =u +gt, (ii) h = ut + (1)/(2) "gt"^(2) , and (iii) v^(2)= u^(2) +2gh the symbols having their usual meanings. Then for a particle dropped from the top of a tower and falling freely. choose the correct options: The distance covered in the nth second is proportional to

    A
    `n^(2)`
    B
    n
    C
    2n-1
    D
    `2n^(2)-1`

  • Vertical rise or fall of a particle under gravity is governed by the equations : (i) v =u +gt, (ii) h = ut + (1)/(2) "gt"^(2) , and (iii) v^(2) = u^(2) +2gh the symbols having their usual meanings. Then for a particle dropped from the top of a tower and falling freely. choose the correct options: The velocity of the body after n second is proportional to

    A
    `n^(2)`
    B
    `n`
    C
    `2n-1`
    D
    `2n^(2)-1`

  • A ball is dropped from the top of a tower of height h. It covers a distance of h/2 in the last second of its motion. How long does the ball remain in air ? (Take g = 10 m/s^2 )

    A
    `sqrt2 sec`
    B
    `(2+sqrt2)sec`
    C
    2 sec
    D
    None of these

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