What does ∆v/∆t represent in physics?

The expression ∆v/∆t represents the change in velocity (∆v) divided by the change in time (∆t). In physics, this ratio defines acceleration, which measures how quickly an object's velocity changes over a specific period.

When an object accelerates, its speed can either increase or decrease. This concept helps describe not just the change in speed, but also the direction of that change. If the velocity increases, the acceleration is positive; if the velocity decreases, the acceleration is negative (often referred to as deceleration). Thus, ∆v/∆t is a fundamental concept in kinematics, providing insight into the dynamics of moving objects.

This understanding is crucial in exploring various applications in mechanics, whether analyzing the motion of vehicles, projectiles, or any object in motion under the influence of forces.