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A particle moves with constant accelerat...

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared to that in the 3rd second is

A

`33%`

B

`40%`

C

`66%`

D

`77%`

Text Solution

Verified by Experts

The correct Answer is:
B

`s_(n) = u+(1)/(2)a (2n-1)`
`s_(3) = (5)/(2)a , s_(4)= (7)/(2)a`
`:. (s_(4)-s_(3))/(s_(3))xx100 = (a)/(((5a)/(2)))xx100= 40%`
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Knowledge Check

  • A particle moves with constant acceleration along a straight line starting form rest.The percentage in its displacement during the 4th second compared to that in the 3rd second is

    A
    `33%`
    B
    `40%`
    C
    `66%`
    D
    `77%`
  • A particle starting from rest with constant acceleration travels a distance x in first 2s and a distance y in next 2s then

    A
    y = 3x
    B
    y = 2x
    C
    y = x
    D
    y = 4x
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    A
    the velocity is 10 m/s at the midpoint C of AB
    B
    the velocity is 6 m/s at an intermediate point P, for which AP : PB = 1:5
    C
    the time taken to travel the distance AC (C is the midpoint of AB ) is twice that for the distance CB
    D
    at half-time the particle travels one fourth of the total distance
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