A particle is moving with a position vector, `vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)]`. Then -

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . find Distance travelled by the particle in 1 sec is

A particle is moving in a plane with velocity vec(v) = u_(0)hat(i) + k omega cos omega t hat(j) . If the particle is at origin at t = 0 , (a) determine the trajectory of the particle. (b) Find its distance from the origin at t = 3pi//2 omega .

A particle moves so that position vector s 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 ?

The motion of a particle is defined by the position vector vec(r)=(cost)hat(i)+(sin t)hat(j) Where t is expressed in seconds. Determine the value of t for which positions vectors and velocity vector are perpendicular.

The motion of a particle is defined by the position vector vec(r)=(cost)hat(i)+(sin t)hat(j) Where t is expressed in seconds. Determine the value of t for which positions vectors and velocity vector are perpendicular.

The motion of a particle is defined by the position vector vec(r)=(cost)hat(i)+(sin t)hat(j) Where t is expressed in seconds. Determine the value of t for which positions vectors and velocity vector are perpendicular.

A particle is moving in a plane with velocity given by vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j) , where hat(i) and hat(j) are unit vectors along x and y axes respectively. If particle is at the origin at t=0 . Calculate the trajectory of the particle :-

A particle is moving in a plane with velocity given by vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j) , where hat(i) and hat(j) are unit vectors along x and y axes respectively. If particle is at the origin at t=0 . Calculate the trajectory of the particle :-

A particle is moving in a plane with velocity given by vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j) , where hat(i) and hat(j) are unit vectors along x and y axes respectively. If particle is at the origin at t=0 . Calculate the trajectory of the particle :-