Displacement, Velocity, and Acceleration

AP Physics 1· difficulty 2/5

A car drives 60 km60~\text{km} at 30 m/s30~\text{m/s}, then 30 km30~\text{km} at 15 m/s15~\text{m/s}. What is its average speed for the trip?

  • A

    50 m/s50~\text{m/s} (incorrect arithmetic mean of speeds)

  • B

    22.5 m/s22.5~\text{m/s}

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  • C

    25 m/s25~\text{m/s}

  • D

    20 m/s20~\text{m/s}

Explanation

Times: 60,000/30=2000 s60{,}000/30 = 2000~\text{s} and 30,000/15=2000 s30{,}000/15 = 2000~\text{s}. Total distance 90,000 m90{,}000~\text{m} in 4000 s4000~\text{s}: vˉ=90,000/4000=22.5 m/s\bar v = 90{,}000/4000 = 22.5~\text{m/s}.

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