Introduction to Rates of Change (HSC SSCE Mathematics Advanced): Quizzes

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Speed as a Rate of Change
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What does speed represent in mathematical terms?

Rate of change of distance with time

What type of quantity is speed?

Scalar quantity

Which statement about speed is always true?

Speed is always greater than or equal to 0

What is the formula for average speed over time interval [t1,t2][t_1, t_2]?

d(t2)d(t1)t2t1\frac{d(t_2) - d(t_1)}{t_2 - t_1}

In the average speed formula, what does Δd\Delta d represent?

Change in distance

On a distance-time graph, what does the gradient of a secant line represent?

Average speed over that interval

What does a straight line on a distance-time graph indicate?

Constant speed

What does a horizontal line on a distance-time graph indicate?

The object is stationary (zero speed)

On a distance-time graph, what does a steeper gradient indicate?

Higher speed

On a distance-time graph, which axis is time plotted on?

Horizontal axis

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