The position vector function is and the point is .

The general position vector is .

Compare the position vector with its general form then and .

Point on the plane is .

Find the value of such that position vector passes through the point.

and

and

and

and .

Find the velocity vector .

Definition of Velocity vector .

Velocity vector .

Velocity vector at .

Velocity vector at is .

Find the acceleration vector .

Definition of acceleration vector .

Acceleration vector .

Acceleration vector at .

Acceleration vector at is .

Graph:

Plot the position vector .

Plot the point .

Plot the velocity vector .

Plot the acceleration .

Velocity vector at is .

Acceleration vector at is .

Graph of the velocity and acceleration vectors is