Home
Class 11
PHYSICS
The displacement 'x' of a particle movin...

The displacement 'x' of a particle moving along a straight line at time t is given by `x=a_(0)+a_(1)t+a_(2)t^(2)`. The acceleration of the particle is :-

A

`a_0`

B

`2a_(1)`

C

`a_2/2`

D

`2a_2`

Text Solution

Verified by Experts

The correct Answer is:
D

`x = a_(0) + a_(1) t+a_(2)t^(2) ` , Velocity , `v = (dx)/(dt) = 0 + a_(1) + 2a_(2)t`
Acceleration = `a= (dv)/(dt) = 0 + 2a_(2) = 2a_2`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (GRAPHICAL STUDY OF MOTION)|16 Videos
  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (KINEMATIC EQUATIONS FOR UNIFORMLY ACCELERATED MOTION|48 Videos
  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (SPEED AND VELOCITY)|9 Videos
  • GRAVITATION

    MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos
  • LAWS OF MOTION

    MTG GUIDE|Exercise AIPMT /NEET (MCQ)|24 Videos

Similar Questions

Explore conceptually related problems

The displacement x of a particle along a straight line at time t is given by x = a_(0) - a_(1) t + a_(2) t^(2) . The acceleration of the particle is -

The displacement x of a particle along a straight line at time t is given by x = a_(0) +a_(1)t + a_(2)t ^(2) . The acceleration of the particle is

The displacement x of a particle along a straight line at time t is given by : x = a_(0) + (a_(1) t)/(2) + (a_(2))/(3) t^(2) . The acceleration of the particle is

The displacement x of a particle at time t along a straight line is given by x = alpha - beta t+gamma t^(2) . The acceleraion of the particle is

The distance traversed by a particle moving along a straight lne is given by x = 180t+50t^(2) metre. The acceleration of the particle is

The displacement of a particle moving along a straight line is given by s=3t^(3)+2t^(2)-10t. find initial velocity and acceleration of particle.

The displacement x of a particle along the x-axis at time t is given by x=a_1/2t+a_2/3t^2 . Find the acceleration of the particle.

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

The displacement x of a particle in a straight line motion is given by x=1-t-t^(2) . The correct representation of the motion is