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Topic 5.9Math AA SL SL9 flashcards

Kinematics

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Card 1 of 95.9.1
5.9.1
Question

How do you get velocity from displacement?

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All Flashcards in Topic 5.9

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5.9.19 cards

Card 1formula
Question

How do you get velocity from displacement?

Answer

Differentiate: v = ds/dt.

Card 2formula
Question

How do you get acceleration from velocity?

Answer

Differentiate: a = dv/dt (= d²s/dt²).

Card 3formula
Question

How do you get velocity from acceleration?

Answer

Integrate: v = ∫a dt (+ C from an initial condition).

Card 4formula
Question

How do you get displacement from velocity?

Answer

Integrate: s = ∫v dt (+ C).

Card 5concept
Question

When is a particle at rest?

Answer

When v = 0.

Card 6concept
Question

When is the velocity a maximum or minimum?

Answer

When a = 0 (the derivative of velocity is zero).

Card 7concept
Question

How do you find displacement over an interval?

Answer

Displacement = ∫ₐᵇ v dt (the signed integral).

Card 8concept
Question

How do you find the total distance travelled?

Answer

∫ₐᵇ |v| dt — split at the times where v = 0 and add the magnitudes.

Card 9concept
Question

When does a particle change direction?

Answer

When v changes sign (passes through 0).

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IB Math AA SL SL Topic 5.9 Flashcards | Kinematics | Aimnova | Aimnova