Home
Class 12
PHYSICS
The position of a particle moving in the...

The position of a particle moving in the xy-plane at any time t is given by `x = (3t^(2) - 6t) m, y = (t^(2) - 2t)m`. Select the correct statement about the moving particle from the following.

A

acceleration is zero at t= 0

B

velocity is zero at t= 0

C

velocity is zero at t=1s

D

velocity and acceleration of the particle are never zero.

Text Solution

Verified by Experts

The correct Answer is:
C
` x = 3 t ^ 2 - 6 t , ` so ( velocity ) `""_x` = ` ( dx ) /( dy ) = 6t - 6 , `
` y = t ^ 2 - 2t `
So, (velocity ) `""_ y ` ` = (dy )/ ( dx ) = 2t - 2 `
At time ` t = 1 `,
` = ( dx ) / (dt ) = 6 xx 1 - 6 = 0 and (dy ) /( dx ) = 2 xx 1 - 2 = 0 `
Promotional Banner

Similar Questions

Explore conceptually related problems

The position of a particle moving in the xy plane at any time t is given by x=(3t^2-6t) metres, y=(t^2-2t) metres. Select the correct statement about the moving particle from the following

The position of a particle moving in the xy plane at any time t is given by x=(3t^2-6t) metres, y=(t^2-2t) metres. Select the correct statement about the moving particle from the following

The displacement x of a particle moving along x-axis at time t is given by x^2 =2t^2 + 6t . The velocity at any time t is

The position of a particle moving along x-axis is given by x = 10t - 2t^(2) . Then the time (t) at which it will momentily come to rest is

The position of a body moving along x-axis at time t is given by x= (t^(2)-4t+6)m . The velocity of the body at time t = 3s is

The coordinates of a particle moving in XY-plane at any instant of time t are x=4t^(2),y=3t^(2) . The speed of the particle at that instant is

Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :

The velocity of the particle at any time t is given by vu = 2t(3 - t) m s^(-1) . At what time is its velocity maximum?

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

The coordinates of a moving particle at any time t are given by, x = 2t^(3) and y = 3t^(3) . Acceleration of the particle is given by