Answer to Question #180263 in Physics for Aveline

Question #180263

What should be the speed of the car at point A so that it will attain a maximum speed of 17 m/s?


1
Expert's answer
2021-04-13T06:30:49-0400

If the car moves at constant acceleration aa, and it has speed vv at point A and speed u=17m/su=17\text{m/s} at point B, and A and B are separated by distance dd, the speed at A can be expressed from the following equation:


d=u2v22a, v=u22ad=2892ad.d=\frac{u^2-v^2}{2a},\\\space\\ v=\sqrt{u^2-2ad}=\sqrt{289-2ad}.

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