The position co-ordinates of a particle moving in a 3-D coordinate system is given
by `x = a" cos"wt`
`y = a" sin"wt `
and `z=awt`
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

If x and y co-ordinates of a particle moving in xy plane at some instant of time are x = t^(2) and y = 3t^(2)

x and y co-ordinates of a particle moving in x-y plane at some instant of time are x=2t and y=4t .Here x and y are in metre and t in second. Then The path of the particle is a…….

The coordinates of a moving particle at any time t are given by x = alpha t^(3) and y = beta t^(3) . The speed of the particle at time t is given by

The coordinates of a moving particle at any time 't' are given by x = alpha t and y = beta t . The speed of the particle at time 't' is given by

The coordinates of a moving particle at any time't' are given by x = alphat^(3) and y = betat^(3) . The speed of the particle at time 't' is given by

The coordinate of a particle moving in a plane are given by x(t) = a cos (pt) and y(t) = b sin (pt) where a,b (lt a) and P are positive constants of appropriate dimensions . Then

Position vector of a particle moving in space is given by : vec(r)=3sin t hat i+3 cos t hatj+4 t hatk Distance travelled by the particle in 2s is :

The position of a particle moving along x- axis is given by x=x_0 cos^2(omegat) . Its when it is at mean position is

The position of a particle at time moving in x-y plane is given by vec(r) = hat(i) + 2 hat(j) cos omegat . Then, the motikon of the paricle is :