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14 April, 02:50

In a car moving at constant acceleration, you travel 230 m between the instants at which the speedometer reads 40 km/h and 70 km/h how many seconds does it take you to travel the 230 m?

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  1. 14 April, 06:08
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    The relationship between the distance covered, initial and final speeds, and time can be expressed through the equation,

    First equation,

    2ad = Vf² - Vi²

    Substituting the known values,

    2 (a) (0.230 km) = (70 km/h) ² - (40 km/h) ²

    The value of a from the equation is 7173.92 km/h².

    Second equation,

    d = (Vi) (t) + 0.5at²

    Substituting the known values,

    0.230 km = (40 km/h) (t) + (0.5) (7173.92 km/h²) (t²)

    The value of t from the equation is 4.1818 x 10^-3 hours which is also equal to 0.2509 minutes or 15 seconds.

    Answer: 15 seconds
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