Home
Class 12
PHYSICS
The position x of a particle varies with...

The position `x` of a particle varies with time `t` as `x=at^(2)-bt^(3)`. The acceleration at time `t` of the particle will be equal to zero, where (t) is equal to .`

A

`(2a)/(3b)`

B

`(a)/(b)`

C

`(a)/(3b)`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-C|10 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-D|10 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-A|11 Videos
  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos
  • Motion in Two Dimensions

    VMC MODULES ENGLISH|Exercise MCQ|2 Videos

Similar Questions

Explore conceptually related problems

The position x of a particle varies with time t as x=at^(2)-bt^(3) .The acceleration of the particle will be zero at time t equal to

The velocity of a particle is zero at time t = 2s, then

If the displacement of a particle varies with time as sqrt x = t+ 3

the angular velocity omega of a particle varies with time t as omega = 5t^2 + 25 rad/s . the angular acceleration of the particle at t=1 s is

If the displacement of a particle varies with time as x = 5t^2+ 7t . Then find its velocity.

The position of a particle moving along x-axis given by x=(-2t^(3)-3t^(2)+5)m . The acceleration of particle at the instant its velocity becomes zero is

Kinetic energy of a particle moving in a straight line varies with time t as K = 4t^(2) . The force acting on the particle

The coordinates of a particle moving in XY-plane vary with time as x= 4t^(2), y= 2t . The locus of the particle is a : -

The position (x) of a particle moving along x - axis veries with time (t) as shown in figure. The average acceleration of particle in time interval t = 0 to t = 8 s is

The position of a particle along x-axis at time t is given by x=1 + t-t^2 . The distance travelled by the particle in first 2 seconds is