# The driver of the locomotive, moving at a speed of 72 km / h, began to brake.

September 28, 2021 | education

| **The driver of the locomotive, moving at a speed of 72 km / h, began to brake. Determine the location of the locomotive after 30 s if the acceleration when braking is 0.2 m / s ^ 2**

The braking distance of a locomotive in 30 s can be calculated using the formula:

S = V0 * t + a * t² / 2, where V0 is the initial speed of the locomotive (V0 = 72 km / h = 72 * 1000/3600 = 20 m / s), and is the acceleration of the locomotive (a = -0.2 m / s²), t is the braking time of the locomotive (t = 30 s).

Let’s calculate the braking distance of the locomotive in 30 s:

S = V0 * t + a * t² / 2 = 20 * 30 + (-0.2) * 302/2 = 600 – 90 = 510 m.

Answer: The locomotive will move forward 510 m in 30 seconds.

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