A particle moves in x-y plane and at time t is at the point `(t^2, t^3 -2 t),` then which of the following is/are correct?

A particle moves in the xy plane and at time t is at the point (t^(2), t^(3)-2t) . Then :-

A particle moves in the xy plane and at time t is at the point (t^(2), t^(3)-2t) . Then find displacement , velocity and acceleration.

A particle moves in the xy plane and at time t is at the point vec r= t^(2) hat i + t^(3)-2t hat j . Then find velocity vector

The position of a particle moving in the x-y plane at any time t is given by , x=(3t^2-6t) metres, y =(t^2-2t) metres. Select the correct statement.

A particle moves along x-axis as x= t (t-2)+(t-2)^(2) . Which of the following is true?

A particle moves in XY-plane with x and y varying with time t as x(t) = 5t, y(t) = 5t (27 -t^(2)) . At what time in seconds, the direction of velocity and acceleration will be perpendicular to each other ?

The coordinates of a particle moving in x-y plane at any time t are (2 t, t^2). Find (a) the trajectory of the particle, (b) velocity of particle at time t and (c) acceleration of particle at any time t.

The coordinates of a particle moving in x-y plane at any time t are (2 t, t^2). Find (a) the trajectory of the particle, (b) velocity of particle at time t and (c) acceleration of particle at any time t.

The position of a particle moving in xy plane at time t is given by x = (3t^2 -6) and y=(t^2-2t). Which one is correct statement for its motion?