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An object oscillates in the x direction with a position of x(t) = 3cos(2πt), where distance is measured in meters and time is measured in seconds. what is the speed of the object at t=1s?

Respuesta :

carlosego
For this case we have the following position equation:
 x (t) = 3cos (2πt)
 Deriving to obtain the speed we have:
 x '(t) = -3 * 2 * π * sine (2πt)
 Substituting for t = 1 we have:
 x '(1) = -3 * 2 * π * sine (2π (1))
 Rewriting:
 x '(1) = -6πsine (2π)
 x '(1) = -6π (0)
 x '(1) = 0
 Answer:
 The speed of the object at t = 1s is:
 x '(1) = 0 m / s

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