The car moved for the first 3 minutes at a speed of 36 km / h, the next 5 minutes – 54 km / h
| June 14, 2021 | education
The car moved for the first 3 minutes at a speed of 36 km / h, the next 5 minutes – 54 km / h and the last 10 minutes – 72 km / h. determine the average speed (km / h) of the vehicle.
Data: the first section of the vehicle’s path (t1 = 3 min (180 s); V1 = 36 km / h (10 m / s)); the second section (t2 = 5 min (300 s); V2 = 54 km / h (15 m / s)); third section (t3 = 10 min (600 s); V3 = 72 km / h (20 m / s)).
The average speed of a car is determined by the formula: Vav. = (S1 + S2 + S3) / (t1 + t2 + t3) = (V1 * t1 + V2 * t2 + V3 * t3) / (t1 + t2 + t3).
Calculation: Vav. = (10 * 180 + 15 * 300 + 20 * 600) / (180 + 300 + 600) = 18300/1080 = 16.94 m / s (61 km / h).
Answer: The average speed of a car is 61 km / h.
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