The normal component of acceleration always points INWARD to the path. The tangential component direction depends on how the point P is changing in speed. If the speed is INCREASING, angle θ between ...

With the polar description, we write the velocity and acceleration vectors for a point in terms of the polar unit vectors er and eθ. These two unit vectors are shown in magenta in the animated GIF ...

When an object changes velocity, it accelerates . Acceleration is defined as the rate of change of velocity. Acceleration is the change in velocity per second and is measured in m/s 2 ...

Unlike previous work on related problems, variations in the magnitude of the velocity vector are allowed. Pontryagin's maximum principle is used to show that the optimal trajectories possess a special ...