Home
Class 11
PHYSICS
The velocity of a particle moving on the...

The velocity of a particle moving on the `x-` axis is gienv by `v=x^(2)+x(` for `xgt0)` where `v` is in `m//s` and `x` is in `m`. Find its acceleration in `m//s^(2)` when passing through the point `x=2m`

A

0

B

5

C

11

D

30

Text Solution

Verified by Experts

The correct Answer is:
D

`V=x^(2)+x`
`a=V(dv)/(dx)=(x^(2)+x)(2x+1)`
`At x=2m`
`a=(4+2)(4+1)`
`a=30m//s^(2)`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 18|7 Videos
  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 19|4 Videos
  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 16 physics|8 Videos
  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise|53 Videos
  • ELASTICITY AND VISCOCITY

    RESONANCE ENGLISH|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

The velocity of a particle moving on the x-axis is given by v=x^(2)+x , where x is in m and v in m/s. What is its position (in m) when its acceleration is 30m//s^(2) .

The velocity of a particle moving along x-axis is given as v=x^(2)-5x+4 (in m // s) where x denotes the x-coordinate of the particle in metres. Find the magnitude of acceleration of the particle when the velocity of particle is zero?

The velocity of a particle defined by the relation v = 8 -0.02x, where v is expressed in m/s and x in meter. Knowing that x = 0 at t = 0, the acceleration at t=0 is

The potential energy of particle of mass 1kg moving along the x-axis is given by U(x) = 16(x^(2) - 2x) J, where x is in meter. Its speed at x=1 m is 2 m//s . Then,

The motion of a particle moving along x-axis is represented by the equation (dv)/(dt)=6-3v , where v is in m/s and t is in second. If the particle is at rest at t = 0 , then

If the velocity of a paraticle moving along x-axis is given as v=(4t^(2)+3t=1)m//s then acceleration of the particle at t=1sec is :

Velocity of particle moving along x-axis is given as v = ( x^(3) - x^(2) + 2) m // sec. Find the acceleration of particle at x=2 meter.

The speed of a particle moving in a circle of radius r=2m varies with time t as v=t^(2) , where t is in second and v in m//s . Find the radial, tangential and net acceleration at t=2s .

A particle is moving along the x-axis with an acceleration a = 2x where a is in ms^(–2) and x is in metre. If the particle starts from rest at x=1 m, find its velocity when it reaches the position x = 3.

V_(x) is the velocity of a particle of a particle moving along the x- axis as shown. If x=2.0m at t=1.0s , what is the position of the particle at t=6.0s ?