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eeenixam
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Tyro
Asked: 2021-04-06T09:59:44+00:00 In: ,

The general form of equation of a line is

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A driver in a car at the speed of 60mi/h sees a deer in the middle of the road 100m away. What is the minimum constant acceleration is necessary to stop?

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  2. acedstud

    First, we convert 100 m to mile.

    1 mile is approximately 1609.34 meters, thus 100 meters is approximately \dfrac{100}{1609.34}=0.062137 miles.

    The relationship between the acceleration, speed, and distance is given by v^2=u^2+2as.

    Here, v=0\text{ mi/hr}, u=60\text{ mi/hr}, s=0.062137\text{ miles}, thus 0^2=60^2+2\times a\times0.062137\Rightarrow3600+0.124275a=0\Rightarrow0.124275a=-3600

    \Rightarrow a=\dfrac{-3600}{0.124275}=-28.968.12\text{ mi}^2\text{/hr}.

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