Question $12(1$ point$)$

You are trying to assess the safe and courteous distance in which you can pull out onto a road with a speed limit of $24\frac{m}{s}.$ Your vehicle has a maximum acceleration of $4\mathrm{.}0\frac{m}{s^2}.$ With a car traveling at the speed limit on the road, above which minimum distance in front of the oncoming car can you start from rest and not have a collision if that person does not brake or slow down?

Consider only one dimensional motion $-$ you start from rest and are pointed in the same direction as the oncoming car. In reality you would have to turn onto the road, so these safe and polite distances are actually larger. Some people even speed on the roads... $($FYl: $40mph18\frac{m}{s},60mph27\frac{m}{s})$

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Hide hint for Question $12$

Sketch a physical diagram of the situation, include an origin and directions. Don't be a rude driver and make people slow down because you pulled out.