A man traversed half the distance with a velocity `v_(0)`. The remaining part of the distance was covered with velocity `v_(1)`. For half the time and with velocity `v_(2)` for the other half of the time . Find the average speed of the man over the whole time of motion.
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Options

A. `|Delta vecv| = sqrt(v_(1)^(2)+v_(2)^(2))`
B. `s= |vecv_(1)t_(1)+vecv_(2)t_(2)|` = displacement
C. `D = |vecv_(1)|t_(1)+|vecv_(2)|t_(2)` = distance
D. `vecv_(av) = (vecv_(1)+vecv_(2))/(2)`

Answer

D

Explanation

A man ………………
`vecV_(av) = (vecV_(1)t_(1)+vecV_(2)t_(2))/(t_(1)+t_(2))`