Instantaneous Speed and Tangents (HSC SSCE Mathematics Advanced): Quizzes
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10 questions from this quiz
What does instantaneous speed measure?
What does instantaneous speed measure?
Speed at one specific moment in time
On a distance-time graph, what does instantaneous speed at a point correspond to?
On a distance-time graph, what does instantaneous speed at a point correspond to?
Gradient of tangent to curve at that point
What is a tangent to a curve?
What is a tangent to a curve?
A line touching curve at exactly one point
What is the key difference between a secant line and a tangent line?
What is the key difference between a secant line and a tangent line?
Secant connects 2 points; tangent touches 1
What formula represents instantaneous speed?
What formula represents instantaneous speed?
Which method estimates instantaneous speed from a distance-time graph?
Which method estimates instantaneous speed from a distance-time graph?
Draw a tangent and calculate its gradient
How does using smaller time intervals affect the accuracy of instantaneous speed estimates?
How does using smaller time intervals affect the accuracy of instantaneous speed estimates?
Smaller intervals give more accurate results
What happens to a secant line as the two points on it get closer together?
What happens to a secant line as the two points on it get closer together?
The secant approaches the tangent
What property does a tangent line have at its point of contact with the curve?
What property does a tangent line have at its point of contact with the curve?
Same direction/slope as the curve
Instantaneous speed is the limit of average speed as what happens to the time interval?
Instantaneous speed is the limit of average speed as what happens to the time interval?
The interval shrinks to zero