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Flip to reveal answersHow do you get velocity from displacement?
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All 9 Flashcards — Kinematics
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Question
How do you get velocity from displacement?
Answer
Differentiate: v = ds/dt.
Question
How do you get acceleration from velocity?
Answer
Differentiate: a = dv/dt (= d²s/dt²).
Question
How do you get velocity from acceleration?
Answer
Integrate: v = ∫a dt (+ C from an initial condition).
Question
How do you get displacement from velocity?
Answer
Integrate: s = ∫v dt (+ C).
Question
When is a particle at rest?
Answer
When v = 0.
Question
When is the velocity a maximum or minimum?
Answer
When a = 0 (the derivative of velocity is zero).
Question
How do you find displacement over an interval?
Answer
Displacement = ∫ₐᵇ v dt (the signed integral).
Question
How do you find the total distance travelled?
Answer
∫ₐᵇ |v| dt — split at the times where v = 0 and add the magnitudes.
Question
When does a particle change direction?
Answer
When v changes sign (passes through 0).
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