Home
Class 11
PHYSICS
The displacement x of a particle at time...

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

A

`-beta`

B

`-beta+2gamma`

C

`2 gamma`

D

`-2gamma`

Text Solution

Verified by Experts

The correct Answer is:
C
`x=alpha-beta t+gamma t^(2)`
`upsilon=(dx)/(dt)=(d)/(dt)(alpha-beta t+gamma t^(2))=-beta+2gamma t`
`a =(d upsilon)/(dt)=(d)/(dt)(-beta+2gamma t)=2gamma`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    DC PANDEY|Exercise Check point 3.4|15 Videos

  • MOTION IN A PLANE

    DC PANDEY|Exercise Check point 3.5|25 Videos

  • MOTION IN A PLANE

    DC PANDEY|Exercise Check point 3.2|10 Videos

  • MOTION

    DC PANDEY|Exercise Medical entrances gallery|19 Videos

  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 2 Subjective|10 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 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 :-

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 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 x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

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

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.

(a) The displacement s of a particale in time t related as s = alpha + beta t + gamma t^(2) + delta t^(2) (b) The veloctiy v of particle varies with time as v = alpha t + beta t^(2) + (gamma )/(t + s) Findk the dimension fo alpha, beta, gamma and delta .

The displacement s of a particle at time t is given by s=alpha sin omegat+beta cos omegat then acceleration at time t is