Home
Class 12
PHYSICS
The position vector of a particle is r =...

The position vector of a particle is `r = a sin omega t hati +a cos omega t hatj`
The velocity of the particle is

A

directed towards the origin

B

directed away from the origin

C

parallel to the position vector

D

perpendicular to the position vector.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The position vectors os a particle is r=(acosomegat)hati+(asinomegat)hatj. The velocity of particle is

The position vector of the particle is r(t)=acos omegat hati+a sin omega thatj , where a and omega are real constants of suitable dimensions. The acceleration is

Position vector of a particle moving in x-y plane at time t is r=a(1- cos omega t)hat(i)+a sin omega t hat(j) . The path of the particle is

A x and y co-ordinates of a particle are x=A sin (omega t) and y = A sin(omegat + pi//2) . Then, the motion of the particle is

A particle move so that its position verctor varies with time as vec r=A cos omega t hat i + A sin omega t hat j . Find the a. initial velocity of the particle, b. angle between the position vector and velocity of the particle at any time, and c. speed at any instant.

The linear displacement (y) of a particle varies with time as y = (a sin omega t + b cos omega t) . State whether the particle is executing SHM or not.

The position of a particle in motion is given by y = B + Csinomegat + Dcosomegat w.r.t origin. Then motion of the particle is

A particle moves so that its position vector is given by vec r = cos omega t hat x + sin omega t hat y , where omega is a constant which of the following is true ?

A particle moves so that its position vector is given by vec r = cos omega t hat x + sin omega t hat y , where omega is a constant which of the following is true ?

If i_(1)=3 sin omega t and (i_2) = 4 cos omega t, then (i_3) is