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The displacement of a particle in time t...

The displacement of a particle in time t is given by `s=2t^2-3t+1`. The acceleration is

A

1

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The displacement of a particle at time t is given by s= 2t^(3) -5t^(2)+ 4t-3 . The time when the acceleration is 14ft/ sec^(2) is

    A
    ` 1 sec`
    B
    ` 2 sec`
    C
    ` 3 sec`
    D
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  • A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

    A
    `18m//s^(2)`
    B
    `32m//s^(2)`
    C
    `29m//s^(2)`
    D
    `24m//s^(2)`

  • If the displacement of a moving particle is given by s=5 + 20 t-2t^(2), then acceleration when velocity is zero, is

    A
    0
    B
    `4" units/sec"^(2)`
    C
    `-4" units/sec"^(2)`
    D
    `-2" units/sec"^(2)`

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    The displacement 's ' of a particle at time 't' is given by s = t^3 - 4t^2 - 5t . Find its velocity and acceleration at ime t= 2 seconds .Also, find t when its acceleration is zero .

    5.The displacement s of a particle at a time t is given by s=2t-5t+4t-3, find (i) the time when the acceleration is 14 ft/sec (ii) the velocity and the displacement at that time.

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