Kinematics

Displacement

Velocity

Acceleration

Definition

Rate of change of velocity with respect to time

Vector quantity defined as distance measured from a reference point to final position of a point

Vector quantity, Rate of change of displacement

SI Unit

meter (m)

SI Unit

meter per second (m/s)

SI Unit

meter per second squared (m/s^2)

Applications of Differentiation

Applications of integration

Displacement

Differentiated

Velocity

Differentiated

Acceleration

Integrated

Velocity

Integrated

Displacement

Maximum points

Of Velocity Time Graph

Of Displacement Time Graph

Velocity = 0

Acceleration = 0

Formulae for Uniformed Motion

Formulae

sf = si + ut + .5at^2

v^2 = u^2 + 2a(sf-si)

v = u + at

Legend

u = Initial Velocity m/s

a = Acceleration m/s^2

sf = Final Displacement m

si = Initial Displacement m

v = Final Velocity m/s

t = time s

Area under Graph Method

Break Graph down into Smaller Parts

Find Area of Triangles and Rectangles, compare with Formulae

Gradient = Acceleration

ONLY FOR VELOCITY TIME GRAPH