GENERAL KNOWLEDGE

Detailed explanation-1: -Acceleration is the derivative of velocity with respect to time: a(t)=ddt(v(t))=d2dt2(x(t)). Momentum (usually denoted p) is mass times velocity, and force (F) is mass times acceleration, so the derivative of momentum is dpdt=ddt(mv)=mdvdt=ma=F.

Detailed explanation-2: -The derivative of position is velocity, the derivative of velocity is acceleration.

Detailed explanation-3: -Acceleration (a) is the change in velocity (v) over the change in time (t), represented by the equation a = v/t. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.

Detailed explanation-4: -The first derivative of position (symbol x) with respect to time is velocity (symbol v), and the second derivative is acceleration (symbol a). Less well known is that the third derivative, i.e. the rate of increase of acceleration, is technically known as jerk j.