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Distance-Time Graphs

A body covers...

Question

A body covers one half of its journey at 40ms^-1 and next half at 50ms^-1. Its average velocity is
a)44.4ms^-1 b)50ms^-1 c)45ms^-1 d)40 ms^-1

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Solution

Assuming the total distance covered is " 2x "

first x with velocity 40m/s
the second x with velocity 50 m/s

Time to cover first x = x/40

time taken to cover the second half = x/50

Total time taken = x/40 + x/50 = 9x/200

Average velocity = total distance covered / total time taken

= 2x*200 / 9s

= 400/9 = 44.4 m/s

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