Define acceleration.

Acceleration is the rate of change of velocity with respect to time.

Acceleration is a vector quantity that measures the rate at which an object changes its velocity. It is defined as the change in velocity divided by the time taken for that change to occur. Mathematically, acceleration can be expressed as:

a = (v2 - v1) / t

where a is acceleration, v2 is the final velocity, v1 is the initial velocity, and t is the time taken for the change in velocity to occur.

Acceleration can be positive or negative, depending on the direction of the change in velocity. If the velocity of an object is increasing, then the acceleration is positive. If the velocity is decreasing, then the acceleration is negative. If the velocity is constant, then the acceleration is zero.

The SI unit of acceleration is metres per second squared (m/s^2). Other units of acceleration include feet per second squared (ft/s^2) and kilometres per hour squared (km/h^2).

Acceleration is an important concept in physics and is used to describe the motion of objects in a variety of situations, from simple free fall to complex orbital motion. Understanding acceleration is essential for A-Level Maths students who wish to pursue further studies in physics or engineering.