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1) if you live 10.0 km from your school and the bus takes 0.53 h to reach the school driving due east, what is the average velocity of the bus?

2) To qualify for the finals in a racing event, a race car must achieve an average speed of 250 km/h on a track with a total length of 1600m. if a particular car covers the first half of the track at an average speed of 230 km/h, what minimum average speed must it have in the second half of the event to qualify?

  • physic -

    1. Velocity = Displacement / time
    Displacement = Final position - initial position
    Note that displacement does not have to equal distance if the bus travels in a zig-zag route.

    2. Speed = distance / time
    Total distance = 1600 m.
    230 km/h = 230000 m/3600 s = 63.889 m/s
    250 km/h = 250000 m/3600 s = 69.444 m/s
    Time spent on first half of track
    =800/63.889 s.
    Total time permitted = 1600/69.444 s
    Time left, t = 1600/69.444 - 800/63.889 s
    So speed required = 800 m / t
    Convert to km/h.

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