Point on a Parametric Curve

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.

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Initial Acc.
Initial Vel.
Simulation Speed

App generated by Mechanical Expressions