Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. In simpler terms, it is how much an object's speed changes over a certain period of time.
Acceleration is calculated as the change in velocity divided by the change in time. The equation for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.
Displacement is the change in an object's position relative to its starting point. It is a vector quantity, meaning it has both magnitude and direction. It can be thought of as the shortest distance between two points.
Displacement is calculated by subtracting the initial position from the final position. The equation for displacement is x = xf - xi, where x is displacement, xf is final position, and xi is initial position. Displacement is often measured in meters (m) in the metric system.
Acceleration and displacement are related through the kinematic equations. These equations describe the motion of an object with constant acceleration. The most commonly used equation is x = xi + vit + 1/2at^2, where x is displacement, xi is initial position, vi is initial velocity, a is acceleration, and t is time.