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The distance travelled in a time t, by a...

The distance travelled in a time t, by a particle moving along X-axis according to an equation `x = A cos omega t` is given by `S = nA + S_0`, when time t can be written as `t = n(T/4) + t_0` such that `t_0 < T/4` and distance travelled in that `t_0` is `S_0`.
The distance S is, when ‘n’ is even number 

A

`S = A [(n + 1) - cos (wt + (n pi)/(2))]`

B

`S = A [(n + 1) - cos (wt - (n pi)/(2))]`

C

`S = A [n + sin (wt - (n pi)/(2))]`

D

`S = A [n - sin (wt - (n pi)/(2))]`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The distance travelled in a time t, by a particle moving along X-axis according to an equation x = A cos omega t is given by S = nA + S_0 , when time t can be written as t = n(T/4) + t_0 such that t_0 The distance S is, when ‘n’ is odd number

    A
    `S = A [(n + 1) - cos (wt + (n pi)/(2))]`
    B
    `S = A [(n + 1) - cos (wt - (n pi)/(2))]`
    C
    `S = A [n + sin (wt - (n pi)/(2))]`
    D
    `S = A [n - sin (wt - (n pi)/(2))]`

  • The distance travelled by a particle in time t is given by s=10t-7t^3 . The maximum velocity is

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    10 unit/sec
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    `-3 `unit/sec

  • A particle moves along a line according to the law s=t^4-5t^2+8 . The intial velocity is

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