At time t second, a particle of mass 3 kg has position vector r metre, where `r = 3that(i) - 4 cos t hat(j)`. Find the impulse of the force during the time interval `0 le t le(pi)/(2)`

Suppose that a particle mvoes on a straight line so that is velocity at time t is v(t)=(t^(2)-2t)m//s . (a). Find the displacement of the particle during the time interval 0 le t le 3 (b). Find the distance traveled by the particle during the time interval 0 le t le 3 .

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)] . 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 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 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 of mass m moves in xy plane such that its position vector, as a function of time, is given by vec(r) =b(kt-sinkt)hati+b(kt+cos kt) hatj . where b and k are positive constants. (a) Find the time t_0 in the interval o le t le (pi)/k when the resultant force acting on the particle has zero power. (b) Find the work done by the resultant force acting on the particle in the interval t_(o) le t le (pi)/4

The time dependence of the position of a particle of mass m = 2 is given by vec(r) (t) = 2t hat(i) - 3 t^(2) hat(j) Its angular momentum, with respect to the origin, at time t = 2 is :

The time dependence of the position of a particle of mass m = 2 is given by vec(r) (t) = 2t hat(i) - 3 t^(2) hat(j) Its angular momentum, with respect to the origin, at time t = 2 is :