IB Maths AI 5.7 Definitions

This page contains our IB Maths AI definitions for 5.7. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Kinematics'.

All Topic 5 Sub-topics 5.1: Introduction To Derivatives 5.2: Applying Derivatives 5.3: Fundamentals Of Integration (HL)5.4: Advanced derivatives (HL)5.5: Further integration (HL)5.6: Applying integration (HL)5.7: Kinematics (HL)5.8: Introduction to differential equations (HL)5.9: Advanced differential equations

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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