If a particle is moving along a parameterized curve $\vec { r } ( t )$ , then the acceleration vector at any point cannot be parallel to the velocity vector at that point.

Question

Quizplus · Accepted Answer

The acceleration vector can be parallel to the velocity vector if the motion is along a straight line or if the particle is undergoing uniform circular motion, in which cases the acceleration either directly adds to or subtracts from the velocity, affecting only the speed and not the direction of motion.

If a Particle Is Moving Along a Parameterized Curve r⃗(t)\vec { r } ( t )r(t)

If a Particle Is Moving Along a Parameterized Curve $\vec { r } ( t )$