The car moved at a speed of 4 m / s for the first half of the journey, and at a speed of 6 m / s for the rest.

| January 17, 2021 | education

The car moved at a speed of 4 m / s for the first half of the journey, and at a speed of 6 m / s for the rest. Calculate the average speed of the vehicle along the way.

Given: S1 = S2 = 0.5S; V1 = 4 m / s; V2 = 6 m / s
Find: Vav
Decision:
The average speed is found by the formula Vav = Stot / ttot;
Stotal = S1 + S2 = S – the total distance is denoted by S;
ttotal = t1 + t2 – total time is equal to the sum of the time of each section of the path;
time is determined by the formula t = S / V
t1 = 0.5S / 4 = 1 / 8S – the time during which the car traveled the first part of the path;
t2 = 0.5S / 6 = 1 / 12S – the time during which the car traveled the second part of the path;
ttotal = 1 / 8S + 1 / 12S = 5/24 S – total travel time;
Vav = S / 5/24 S = 24/5 = 4.8 m / s – average vehicle speed.
Answer: 4.8 m / s



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