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Q.

Edwin jogs from one end A to the other end B of a straight 300 m road in two minutes thirty seconds and then turns around and jogs 100 m back to point C in another 1 minute. What are Edwin’s average speeds and velocities in jogging from A to C?


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a

Average speed = average velocity

b

Average speed > average velocity

c

Average speed < average velocity

d

None 

answer is B.

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Detailed Solution

Edwin’s average speeds and velocities in jogging from A to C will be Average speed > average velocity.
To calculate the average speed,
Total distance from point A to point C =300 m + 100 m Total distance from point A to point C= 400 m  Time taken from point A to point C =2 min 30 s + 1 min
             = 2 × 60 s + 30 s
          =120 s + 30 s + 60 s
         = 210 s
Now using the speed formula,
Average speed = total distance time taken…(1)
Average speed = 400 m210 s
Average speed =1.90 m/s
Average velocity  = displacementtime taken…..(2)
Here the displacement from A to C is = 300m – 100 m displacement from A to C is = 200 m
Now from equation (2)
Average velocity =200 m210 s
Average velocity =0.95 m/s
Therefore, Average speed > average velocity
 1.90 > 0.95
  
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