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A particular power boat travelling at V0 km/h when its power is turned off will have its speed V given by V(t) = V0 × 10-0.18t where t is the time in seconds since the engine was turned off. If this boat was travelling at 50km/h before powering down, construct a table showing its speed at t = 0, 1, 2, ..., 5. What are the limitations in using this exponential function to describe the speed of the boat?

  • math -

    The O after the V is in subscript form.

  • math -

    so you have
    V(t) = 50 x 10^(-.18t)

    t=0 , V(0) = 50 (10^0) = 50
    t=1 , V(1) = 50 (10^-.18) = 33.03
    t = 2 , V(2) = 50 (10^-.36) = 21.83
    you do the rest of the button-pushing

    mathematically the boat would never come to a stop
    since 10^?? can never become zero

  • math -

    Ah thanks that helps explain it much easier for me.

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