Recognising Relationships (VCE SSCE Mathematical Methods): Quizzes

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Recognising Relationships
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In a rectangular container filled at constant rate, what relationship exists between height (hh) and volume (VV)?

Linear relationship

For a conical flask (narrow at bottom, wide at top), how does height change as water is poured in?

Large increases then smaller increases

On a distance-time graph, what does a horizontal line segment indicate about the particle's motion?

The particle is stationary

A particle moves from 5m to 10m in 3 minutes at constant speed. What is its speed in m/min?

53\frac{5}{3}

What does a graph sloping upward (left to right) indicate about the rate of change?

Positive rate of change

What does a graph sloping downward (left to right) indicate about the rate of change?

Negative rate of change

What does a horizontal line on a graph indicate about the rate of change of yy with respect to xx?

Rate of change is zero

For a round-bottom flask, how does height change as volume increases?

Quickly, slowly, then quickly again

At turning points on a graph, what is the rate of change?

Momentarily zero

Why use round brackets at x=3x=-3 when the rate is negative for x(3,0)x \in (-3,0)?

Rate of change is zero at x=3x=-3

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