Home
Class 12
PHYSICS
The displacement of a particle moving in...

The displacement of a particle moving in a straight line is given by `x=2t^2+t+5` where x is expressed in metre and t in second. The acceleration at t = 2 s is

A

`4 ms^(-2)`

B

`8 ms^(-2)`

C

`10 ms^(-2)`

D

`15 ms^(-2)`

Text Solution

Verified by Experts

Distance covered in 2 s is,
`s=ut+1/2g t^2=u(2)+1/2xx10xx2^2=2u+20`
Distance covered in next is,
`"S"^2=[u(3)+1/2xx10(3)^2]-(2u+20)`
`3u+45-2u-20`
`"S"^1=u+25`
Since,`s=s^1`
`2u+20=u+25`
`u=5`
`s=2xx5+20=30m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    SIA PUBLICATION|Exercise MCQs|35 Videos

  • LAWS OF MOTION

    SIA PUBLICATION|Exercise M.C.Q|41 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle moving in a straight line is given by the expression x=At^(3)+Bt^(2)+Ct+D in metres, where t is in seconds and A,B,C and D are constant. The ratio between the initial acceleration and initial velocity is

At time t, the distance s of a particle moving in a straight line is given by s= 4t^2+ 2t. Find the average velocity between t= 2sec and t= 8 sec.

Knowledge Check

  • The motion of a particle along a straight line is described by the function x = (2t-3)^(2) where x is in metres and t is in seconds . The acceleration of the particle at =2s is

    A
    1`ms^(-2)`
    B
    `4 ms^(-2)`
    C
    `8 ms^(-2)`
    D
    `7 ms^(-2)`

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

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

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

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

    • Similar Questions

    Explore conceptually related problems

    At time t, the distance s of a particle moving in a straight line is given by s=-4t^(2)+2t . Find the average velocity between t=2 sec and t=8 sec.

    The displacement s of a particle travelling in a straight line in t seconds is given by s=45t+11t^(2)-t^(3) . Find the time when the particle comes to rest.

    The displacement of a particle moving in a straight line Is given by the expression x = At^(3) + Bt^(2) + Ct + D meters, where t is in seconds and A, B, C and D are constants. The ratio between the initial acceleration and initial velocity is

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

    The displacement of a particle of mass 2 g executing SHM is given by y=5sin(4t+pi/3) . Here, y is in metres and t is in seconds. The kinetic energy of the particle, when t=T/4 is

    Home
    Profile