Consider the motion of a particle described by ` x = a cos t , y= a sin t and z=t ` . The trajectory traced by the particle as a function of time is

The coordinate of a moving particle at any instant of time t are x = at and y = bt ^(2). The trajectory of the particle is

The coordinate of a moving particle at any instant of time t are x = at and y = bt ^(2). The trajectory of the particle is

The equation of motion of a particle is x = a cos (a t)^2. The motion is

The motion of a particle is given by x = A sin omega t + B os omega t . The motion of the particle is

The motion of a particle is given x = A sin omega t + B cos omega t The motion of the particle is

A particle moves in the x-y plane according to the law x=t^(2) , y = 2t. Find: (a) velocity and acceleration of the particle as a function of time, (b) the speed and rate of change of speed of the particle as a function of time, (c) the distance travelled by the particle as a function of time. (d) the radius of curvature of the particle as a function of time.

A particle moves in xy plane with its position vector changing with time (t) as vec(r) = (sin t) hati + (cos t) hatj ( in meter) Find the tangential acceleration of the particle as a function of time. Describe the path of the particle.

The co-ordinates of a moving particles at a time t , are give by, x = 5sin 10t, y = 5 cos 10t . The speed of the particle is:

The co-ordinates of a moving particle at anytime 't' are given by x = alpha t^(3) and y = beta t^(3) . The speed of the particle at time 't' is given by