Answer to Question #180263 in Physics for Aveline

Question

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

Answer 1

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

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