A train is traveling at a speed of 80km/h when the conductor applies the brakes. The train slows with a constant acceleration of magnitude of 0.5 m/s^2. We want to find the distance the train travels from the time the conductor applies the brakes until the train comes to a complete stop. Which kinematic formula would be most useful to solve for the target unknown? ​

d = 493.72 m

Explanation:

Given that,

Initial velocity of the train, u = 80 km/h = 22.22 m/s

Acceleration of the train, a = -0.5 m/s² (negative as it slows down)

Finally brakes are applied, v = 0

We need to find the distance the train travels. Let the distance be d. Using third equation of kinematics to find it.

So, the required distance is equal to 493.72 m.

this is poiselle's equation from fluid mechanic in physics. mech eng