The body moves evenly and travels 20 m at a speed of 4 m / s. Then, increasing the speed to 12 m / s

univerkov | July 18, 2021 | education

The body moves evenly and travels 20 m at a speed of 4 m / s. Then, increasing the speed to 12 m / s, it goes another 60 m. Find the average speed of the body along the entire path.

To calculate the average speed at which the body should have moved, we apply the formula: Vav = S / t = (S1 + S2) / (t1 + t2) = (S1 + S2) / (S1 / V1 + 2S2 / (V1 + V2 )).

Values of variables: S1 – first track (S1 = 20 m); S2 – second track (S2 = 60 m); V1 – constant speed (V1 = 4 m / s); V2 is the speed reached at the end of the entire path (V2 = 12 m / s).

Calculation: Vav = (S1 + S2) / (S1 / V1 + 2S2 / (V1 + V2)) = (20 + 60) / (20/4 + 2 * 60 / (4 + 12)) = 6.4 m /from.

Answer: The average speed was 6.4 m / s.

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