Rates of Change (Leaving Cert Applied Maths): Flashcards

How quickly a quantity changes over time

Rate of change at a specific moment in time

Distance, speed, acceleration

Differentiate distance

Differentiate speed

Distance → speed → acceleration

Acceleration → speed → distance

Zero

Velocity

Integrate it

$-9.8 \text{ m/s}^2$ or $-10 \text{ m/s}^2$

Initial conditions

Linear (first degree in $t$)

Quadratic (involves $t^2$)