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The distance 's' described by a particle...

The distance `'s'` described by a particle in `t` seconds is given by `s=ae^t+be^-t`. The velocity at any time `t` is

A

`ae^t+be^-t`

B

`ae^t-be^-t`

C

`-ae^-t-be^t`

D

`ae^-t+be^t`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The distance described by a particle in t seconds is given by s=ae^t+be^-t . The acceleration is

    A
    `ae^t+be^-t`
    B
    `ae^t-be^-t`
    C
    `-ae^-t-be^t`
    D
    `ae^-t+be^t`
  • The distance travelled by a particle in time t is given by s=10t-7t^3 . The maximum velocity is

    A
    10 unit/sec
    B
    0
    C
    `8//3` unit/sec
    D
    `-3 `unit/sec
  • The distance travelled by a particle in time t is gicen by s=t^3-2t^2-3t+5 . The velocity of the particle when t=2 sec is

    A
    1 uint/sec
    B
    2 unit/sec
    C
    `1//2` unit/sec
    D
    3 unit/sec
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