Solved: The distance s of a moving body from a fixed point is given, Mathematics

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The distance s of a moving body from a fixed point is given

Question: The distance, s, of a moving body from a fixed point is given as a function of time, t, by s = 20e^t/2.

(a) Find the velocity, v, of the body as a function of t.

(b) Find a relationship between v and s, then show that s satisfies the differential equation s' = ½s.

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Mathematics: The distance s of a moving body from a fixed point is given

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Mathematics: The distance s of a moving body from a fixed point is given

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