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Position functions and velocity and acceleration — Krista King Math | Online math help

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Position functions and velocity and acceleration — Krista King Math | Online math help

You’re usually given a position equation x or s(t), which tells you the object’s distance from some reference point. This equation also accounts for direction, so the distance could be negative, depending on which direction your object moved away from the reference point.

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Position from velocity Consider an object moving along a line with the given velocity v and initial position. a. Determine the position function, for t ≥0, using the antiderivative method b. Determine the position function, for t ≥0, using the Fundamental Theorem of Calculus (Theorem 6.1 ). Check for agreement with the answer to part (a). v(t)=sint on [0,2 π] ; s(0)=1. | Numerade

Position from velocity Consider an object moving along a line with the given velocity v and initial position. a. Determine the position function, for t ≥0, using the antiderivative method b. Determine the position function, for t ≥0, using the Fundamental Theorem of Calculus (Theorem 6.1 ). Check for agreement with the answer to part (a). v(t)=sint on [0,2 π] ; s(0)=1. | Numerade

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Position from velocity Consider an object moving along a line with the given velocity v and initial position. a. Determine the position function, for t ≥0, using the antiderivative method b. Determine the position function, for t ≥0, using the Fundamental Theorem of Calculus (Theorem 6.1 ). Check for agreement with the answer to part (a). v(t)=sint on [0,2 π] ; s(0)=1. | Numerade

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