How Acceleration described within laws of motion?

How Acceleration described within laws of motion?

• A. The rate of change of momentum is proportional to the force acting on a body and momentum will take place in the direction of the force.
• B. Velocity changes randomly with no relation to force.
• C. The rate of change of velocity is proportional to force acting on a body.
• D. Momentum remains constant regardless of force.

Answer: (C)

Acceleration is the rate at which velocity changes, and Newton's second law ties that change to the net force: a = F/m, so the rate of change of velocity is proportional to the force acting on the body and points in the direction of that force. This captures the idea that pushing harder (greater force) changes velocity more quickly, while a larger mass m reduces the acceleration for the same force. While the law can also be written in momentum form (change in momentum equals the applied force), the direct description of acceleration focuses on dv/dt and its proportionality to force. The other statements don’t describe how acceleration behaves: velocity doesn’t change randomly with no relation to force, and momentum changes when force is applied rather than remaining constant.

Acceleration is the rate at which velocity changes, and Newton's second law ties that change to the net force: a = F/m, so the rate of change of velocity is proportional to the force acting on the body and points in the direction of that force. This captures the idea that pushing harder (greater force) changes velocity more quickly, while a larger mass m reduces the acceleration for the same force. While the law can also be written in momentum form (change in momentum equals the applied force), the direct description of acceleration focuses on dv/dt and its proportionality to force. The other statements don’t describe how acceleration behaves: velocity doesn’t change randomly with no relation to force, and momentum changes when force is applied rather than remaining constant.