In introductory kinematics, the rate at which velocity changes with time is called what quantity?

• A. Momentum
• B. Acceleration
• C. Displacement
• D. Speed

Answer: (B)

Verified step by step guidance

1. Understand the definitions of the given quantities: Momentum is the product of mass and velocity, displacement is the change in position, speed is the magnitude of velocity, and acceleration is the rate of change of velocity with respect to time.
2. Recall that velocity is a vector quantity that describes both the speed and direction of an object's motion.
3. Recognize that when velocity changes over time, either in magnitude or direction, the quantity describing this change is acceleration.
4. Express acceleration mathematically as the derivative of velocity with respect to time: \( a = \frac{d v}{d t} \).
5. Conclude that the rate at which velocity changes with time is called acceleration.