The velocity vector of the motion described by the position vector of a particle, `r = 2t hati + t^(2) hatj` is given by

Calculate the acceleration of a particle at t=(pi)/(6) , if the position vectors of the particle vecr=(5 cos t ) hati +(2 sin t) hatj+(6t^(2) sin 2t) hatkm

Find the position vector of the centroid of the triangle with vertices given by the position vectors - hati +hatj +hatk, hati +2 hatj - hatk and - hati + hatj + hatk .

The angular velocity of a particle is vec(w) = 4hati + hatj - 2hatk about the origin. If the position vector of the particle is 2hati + 3hatj - 3hatk , then its linear velocity is

The angular velocity of a particle is vec(w) = 4hati + hatj - 2hatk about the origin. If the position vector of the particle is 2hati + 3hatj - 3hatk , then its linear velocity is

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.

State the direction of velocity of a particle with position vector given by bar r = {a cos wt} hati + a sin wt hatj .

Velocity vector of a particle is given as vecv=4thati+3hatj At t=0 position of the particle is given as vecr_(0)=2hatj Find the position vector of the particle at t=2 sec and te average acceleration of the particle for t=0 to t=2sec.

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.