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23 June, 04:32

A plane travels 350 km south along a straight path with an average velocity of 125 km/h to the south. The plane has a 30 minute layover, and the travels 220 km south with an average velocity of 115 km/h to the south. What is the average velocity for the trip?

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  1. 23 June, 04:37
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    110 km/hr

    Explanation:

    Average velocity can be determined by

    V = S/T

    where,

    V=Average Velocity

    S = Total Displacement traveled

    T=Total time taken

    A plane travels 350 km south with an average velocity of 125 km/h

    v = 125 km/h

    displacement 's' = 350 km

    therefore, time = 350/125 = 2.8 hours.

    then travels 220 km south with an average velocity of 115 km/h

    v = 115 km/h

    displacement 's' = 220 km

    therefore, time = 220/115 ≈ 1.91 hours.

    Total time will be:

    T = 2.8 + 0.5 + 1.9

    T=5.21 hours.

    Total displacement of the plane is

    s = 350 + 220

    s=570 km

    Therefore,

    V = S / T

    V = 570 / 5.21

    V = 110 km/hr

    Thus, the average velocity for the trip is 110 km/hr towards south
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