Instantaneous vs. Average Speed (HSC SSCE Mathematics Advanced): Quizzes

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Instantaneous vs. Average Speed
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10 questions from this quiz

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What does average speed measure?

Overall pace over a time interval

What key characteristic defines instantaneous speed?

Speed at a specific moment in time

On a distance-time graph, how is average speed represented?

Gradient of secant line between 2 points

On a distance-time graph, how is instantaneous speed represented?

Gradient of tangent line at a point

How can instantaneous speed at time tt be approximated?

Average speed over very small interval

What happens as the interval size decreases when approximating instantaneous speed?

Secant line approaches tangent line

How many points does a secant line touch on a distance-time curve?

Two points

What does it indicate when average speed differs from instantaneous speed?

Acceleration or deceleration

For d(t)=t3d(t)=t^3, average speed from t=1t=1 to t=3t=3 is 13 m/s. What is d(3)d(1)d(3)-d(1)?

26 m

Which interval gives better approximation of instantaneous speed at t=2t=2?

[2,2.1][2, 2.1] with h=0.1h=0.1

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