# A point object is moving on the cartesian coordinate plane according to: #vecr(t)=b^2thatu_x+(ct^3−q_0)hatu_y#. Determine: a) The equation of the trajectory of object on the cartesian plane b) The magnitude and direction of the velocity?

##### 1 Answer

Aug 8, 2016

Let

Then

On simplification we get

Now differentiating (1) w.r.to.t we get velocity

Its magnitude

The direction of the velocity.

If it is directed at an angle **t th** instant then