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calculus

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Find the total distance traveled by the particle moving along a straight line with velocity v=sinpit for 0<t<2.

  • calculus - ,

    Distance travelled = integral of V dt
    = Integral of sin (pi*t) dt
    t = 0 to 2
    = - cos(2) + cos(0) = 1 - cos(2) = 0.58385

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