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The displacement of a particle is given ...

The displacement of a particle is given by `y=(6t^2+3t+4)m`, where t is in seconds. Calculate the instantaneous speed of the particle.

A

`6t+3ms^-1`

B

`12t^2+4ms^-1`

C

`12t+3ms^-1`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
`y=6t^2+3t+4impliesv=(dy)/(dv)=12t+3ms^-1`
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Knowledge Check

  • The displacement of a partcle is given by x=(t-2)^(2) where x is in metre and t in second. The distance coverred by the particle in first 3 seconds is

    A
    4m
    B
    8m
    C
    12 m
    D
    16 m

  • The displacement of a particle is moving by x = (t - 2)^2 where x is in metres and t in second. The distance covered by the particle in first 4 seconds is.

    A
    4 m
    B
    8 m
    C
    12 m
    D
    16 m

  • The angular displacement of a particle is given by theta = t^3 + 2t +1 , where t is time in seconds. Its angular acceleration at t=2s is

    A
    `14 rads^(-2)`
    B
    `17 rads^(-2)`
    C
    `12 rads^(-2)`
    D
    `9 rads^(-2)`
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