IB Maths AA 5.6 Definitions

This page contains our IB Maths AA definitions for 5.6. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Kinematics'.

All Topic 5 Sub-topics 5.1: Introduction To Derivatives 5.2: Applying Derivatives 5.3: Advanced Derivatives 5.4: Introduction To Integration 5.5: Advanced Integration 5.6: Kinematics (HL)5.7: Advanced limits (HL)5.8: Implicit differentiation (HL)5.9: Challenging derivatives (HL)5.10: Challenging integration (HL)5.11: Applying integration (HL)5.12: Differential equations (HL)5.13: Maclaurin series

acceleration

The rate of change of velocity with respect to time, given by

a=\frac{dv}{dt}=\frac{d^2s}{dt^2}

and typically measured in m s^-2.

displacement

The vector that represents the change in position from one point to another, for example $\rightarrow{AB}=\textbf{b}-\textbf{a}$ .

distance

The length of the straight line segment joining two points; in three-dimensional space it can be found using

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}$ .

speed

The magnitude of velocity, given by

|v|

, so it is always non-negative even when velocity is negative.

velocity

The rate of change of displacement with respect to time, given by

v=\frac{ds}{dt}

and typically measured in m s^-1.

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