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AP Calculus

A particle moving along x-axis has velocity v(t) = sin(4t) at time t. If the particle is at x=4 when t=0, determine the position of the particle when t=pi/2.

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  1. v(t) = ds/dt, so
    s(t) = -1/4 cos(4t) + C
    s(0) = -1/4 + C = 4, so C = 17/4
    s(π/2) = -1/4 cos(π/2) + 17/4 = 17/4

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    oobleck

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    Alexander Weber

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