Velocity and Acceleration as Derivatives (HSC SSCE Mathematics Advanced): Flashcards

$v = \frac{dx}{dt}$ or $v = \dot{x}$

$\frac{dx}{dt}$ (differentiation w.r.t. time)

$|v|$ (absolute value of velocity)

Velocity equals zero ($v = 0$)

$a = \frac{d^2x}{dt^2} = \ddot{x}$

Displacement and velocity (have direction, can be negative)

Distance and speed (magnitudes only, always positive or zero)

m/s² or ms⁻² (metres per second, per second)

0 (approaches zero)

$a = \frac{dv}{dt} = \dot{v}$