1. Distance vs. Displacement & Properties of Integrals
AP Calculus
December 6, 2016
Mrs. Agnew

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Essential Question
How do you find the distance and displacement of an object given a velocity curve?
How do you use the properties of integrals?
Essential Vocabulary
Distance vs. Displacement
Properties of Definite Integrals
Limits of Integration
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Review: Integration
The definite integral gives the following:
Area Under a Curve
Total Change
Evaluation Theorem: find antiderivative and plug in limits of integration.
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4. Distance vs. Displacement
Assuming velocity is always positive, area under the curve is the Total Distance.
If velocity is both positive and negative, area under curve is Displacement.
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5. Distance vrs. Displacement
Displacement is given by the area under the velocity curve.
Distance is area under curve, making any negative area positive (examine graph).
Guided Practice
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6. Properties of the Definite Integral
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Guided Practice
Page #33 – 44
Page #97 – 103 (Odd)
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