The body moves uniformly at a speed of 3 m / s for 20 s, then for 15 s moves with an acceleration of 0.2 m / s ^ 2

The body moves uniformly at a speed of 3 m / s for 20 s, then for 15 s moves with an acceleration of 0.2 m / s ^ 2 and stops. Find the path traveled by the body during the movement.

To determine the total path traversed by the body in question, we will use the formula: S = S1 (uniform motion) + S2 (slow motion) = (V1 * t1) + (V1 * t2 – a * t2 ^ 2/2).
Variables: V1 – uniform motion speed (V1 = 3 m / s); t1 – time of uniform motion (t1 = 20 s); t2 – slow motion time (t2 = 15 s); a – acceleration (a = 0.2 m / s2).
Calculation: S = 3 * 20 + 3 * 15 – 0.2 * 15 ^ 2/2 = 82.5 m.
Answer: The total distance covered is 82.5 m.



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