A particle move in `x-y` plane such that its position vector varies with time as `vec r=(2 sin 3t)hat j+2 (1-cos 3 t) hat j`. Find the equation of the trajectory of the particle.

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.

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 vector vec A varies with time as vec A=that i-sin pi that j+t^(2)hat k. Find the derivative of the vector at t=1

A particle moves so that its position vector varies with time as vec(r)=A cos omega t hat(i) +A sin omega t hat(j) . If (dvec(r))/(dt) gives instantaneous velocity. Find the initial velocity of particle.

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 ?

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 ?

A radius vector of point A relative to the origin varies with time t as vec r = at hat i - bt^2 hat j where a and b are constant. The equation of point's trajectory is.

A radius vector of point A relative to the origin varies with time t as vec r = at hat i - bt^2 hat j where a and b are constant. The equation of point's trajectory is.