Given a point on a parametric curve (f(t), g(t)), if the point has parametric velocity v, and parametric acceleration a, then what is the velocity and acceleration of the point?

Point A lies on the parametric curve. You can give the parameter t an initial velocity v and acceleration a, then measure the resultant velocity and acceleration of the point A.

You can use the Dynamic Simulation feature to see the point in action.

Initial Acc. | ||||

t | ||||

Initial Vel. | ||||

f(t) | ||||

g(t) | ||||

Simulation Speed | ||||

Velocity | ||||

Acceleration | ||||