The locomotive, moving uniformly accelerated from a state of rest with an acceleration of 0.1 M / s2

| May 1, 2021 | education

The locomotive, moving uniformly accelerated from a state of rest with an acceleration of 0.1 M / s2, increases its speed to 18 km / h. How long did it take to reach this speed? Which one has passed during this time

Initial data: uniformly accelerated motion; V0 (initial speed of the locomotive) = 0 m / s; a (diesel locomotive acceleration) = 0.1 m / s2; V (speed reached by the locomotive) = 18 km / h.

SI system: V = 18 km / h = 5 m / s.

1) Determine the acceleration time of the locomotive: V = V0 + a * t = a * t, whence t = V / a = 5 / 0.1 = 50 s.

2) The path taken by the locomotive during acceleration:

a) S = 0.5 * a * t ^ 2 = 0.5 * 0.1 * 50 ^ 2 = 125 m;

b) S = V ^ 2 / 2a = 5 ^ 2 / (2 * 0.1) = 125 m.

Answer: The diesel locomotive will travel 125 meters in 50 seconds during acceleration.



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