How long does it take for a body moving from rest with an acceleration of 2 m / s² to accelerate to a speed of 18 m / s?

How long does it take for a body moving from rest with an acceleration of 2 m / s² to accelerate to a speed of 18 m / s? Determine the acceleration path length.

Initial data: a (body acceleration) = 2 m / s2; V (required speed) = 18 m / s; movement from rest.

1) Determine the duration of acceleration of the body under consideration: t = (V – V0) / t = (18 – 0) / 2 = 9 s.

2) We calculate the length of the acceleration path: S = (V + V0) * t / 2 = (18 + 0) * 9/2 = 81 m.

Answer: The body under consideration will accelerate to a speed of 18 m / s in 9 s, the acceleration path length is 81 m.



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