Speed as a Rate of Change (HSC SSCE Mathematics Advanced): Flashcards

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Speed as a Rate of Change
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Speed definition

Rate of change of distance with respect to time

Speed: scalar or vector?

Scalar (magnitude only)

Velocity: scalar or vector?

Vector (has magnitude and direction)

Speed value range

Always ≥ 0 (non-negative)

Average speed formula

ΔdΔt=d(t2)−d(t1)t2−t1\frac{\Delta d}{\Delta t} = \frac{d(t_2) - d(t_1)}{t_2 - t_1}

Secant gradient on distance-time graph

Average speed over that interval

Straight line on distance-time graph

Constant speed

Curved line on distance-time graph

Varying/changing speed

Horizontal line on distance-time graph

Zero speed (stationary)

Steeper gradient on distance-time graph

Higher speed

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