For 15 seconds, the body speed increased from 10 m / s to 22 m / s. What path has the body traveled during this time?

t = 15 s.
V0 = 10 m / s.
V = 22 m / s.
S -?
For uniformly accelerated motion, the formula for determining the movement of the body is valid: S = (V ^ 2 – V0 ^ 2) / 2 * a, where V, V0 are the final and initial velocity of the body, respectively, and a is the acceleration of the body.
We find the acceleration of the body by the formula: a = (V – V0) / t.
The formula for moving will be: S = (V ^ 2 – V0 ^ 2) * t / 2 * (V – V0).
S = ((22 m / s) ^ 2 – (10 m / s) ^ 2) * 15 s / 2 * (22 m / s – 10 m / s) = 240 m.
Answer: the body has passed the path S = 240 m.



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