Kinetic energy Derivation of kinetic energy

Kinetic Energy 2 starting equations F = m x a (Newton’s 2 nd law) W = Force x distance

Kinetic Energy 2 starting equations Force = m x a (Newton’s 2 nd law) W = Force x distance Together give Work = (m x a) x distance W = m x a x d

Work is MAD Av Speed (velocity) is distance time

Work is MAD Av Speed (velocity) is distance time Distance = Average velocity x time

Work is MAD Av Speed (velocity) is distance time Distance = Average velocity x time Distance = v + u x t 2

Distance Distance = v + u x t 2 D = ½ x v + u x t Starting velocity is zero D = ½ x v x t

Time Final velocity = acceleration x time Time = final velocity acceleration t = v a

Going back a step….. D = ½ x v x t D = ½ x v x v a D = ½ x v 2 a

Put into previous statements W = m x a x d W = m x a x ½ x v 2 a W = m x ½ x v 2 W = ½ x m x v 2