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    science
    Grade-7
    Easy

    Question

    A car travels on a straight road at a uniformly increasing velocity. It starts with a velocity of 4 m/s and finally attains a velocity of 20 m/s in 10 s. The average velocity of the car is ____ m/s

    1. 12

    hintHint:

    12m/s

    The correct answer is: 12

      • We are given with, Initial velocity (u) = 4 m/s, Final velocity (v) = 20 m/s, time (t) = 10 s and acceleration is 'a'. By using equation,
      v equals u plus a t 20 equals 4 plus 10 a 10 a equals 16 a equals 16 over 10 space equals space 1.6 space m divided by s squared
      • Displacement = distance travelled = s and by using equation, we can find s,
      v squared minus space u squared equals 2 a s left parenthesis 20 right parenthesis squared minus left parenthesis 4 right parenthesis squared equals 2 cross times 1.6 cross times s 400 minus 16 equals 3.2 cross times s 3.2 cross times s equals 384 s equals fraction numerator 384 over denominator 3.2 end fraction space equals space 120 m
      • Average velocity = Displacement(s) / time 
      A v e r a g e space v e l o c i t y equals 120 over 10 space space equals space 12 space m divided by s

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