Final answer:
The velocity of a particle is directly proportional to its angular momentum. The correct answer is a) Yes, it's directly proportional.
Step-by-step explanation:
If you know the velocity of a particle, can you say anything about the particle's angular momentum?
Angular momentum is a vector quantity defined as the cross product of the particle's position vector and its linear momentum vector.
The direction of the angular momentum is perpendicular to the plane formed by the position and linear momentum vectors, and its magnitude is equal to the product of the particle's mass, velocity, and the distance from the reference point.
For example, if you have a particle moving along a straight line with a velocity v, its angular momentum will be zero because the position vector and linear momentum vector are parallel, and their cross product will be zero. However, if the particle's velocity is not parallel to its position vector, then its angular momentum will be non-zero and directly proportional to its velocity.
The correct answer is a) Yes, it's directly proportional.