Answer to Question #173360 in Physics for Richard

Question

The locomotive passes through the station at a speed of 16 m / s. When leaving the station, the locomotive accelerates with a constant acceleration of 0.33 m / s until it reaches a speed of 35 m / s. Determine the path that the locomotive will travel during acceleration.

Answer 1

We can find the path that the locomotive will travel during acceleration as follows:

$$v^2=v_0^2+2ad,$$ $$d=\dfrac{v^2-v_0^2}{2a},$$ $$d=\dfrac{(35\ \dfrac{m}{s})^2-(16\ \dfrac{m}{s})^2}{2\cdot0.33\ \dfrac{m}{s^2}}=1468\ m.$$