Consider the following position function. Find ​(a) the velocity and the speed of the object and ​(b) the acceleration of the object.   r​(t)=(6 cos t,6 sin t) for 0≤t≤2pi a)v(t)=? |v(t)=? ​(b) a(t)=?

In this question, concept of velocity and acceleration is used.

The rate of change of one quantity in relation to another at a certain moment or point in time is expressed by the derivative. The velocity of an item is determined by the derivative of its position function with respect to time. The object's acceleration is determined by the derivative of the velocity function with respect to time.