1.

An woman walks on a straight road from her home to a market 2.5 km away with a speed of 5 km/h . Finding the market closed .he instantly turns and walks back with a speed of 7.5 km/hr. What is the(a)magnitude of an average velocity ,(b)average speed of the man,over the interval of time .0 to 50 min and

Answer»

SOLUTION :TIME taken by woman to go from her home to market
`t_(1) =("Distance") /("Speed") = (2.5)/(5) = (1)/(2)` h
Time taken by woman to go from market to her home,
`t_(2) = (2.5)/(7 . 5) = (1)/(3) h`
`:.`TOTAL time`= t_(1) + t_(2) = (1)/(2) +(1)/(3) = (5)/(6)`h
=50 min
(a)Average velocity
`vec(v) _(av) = ("Displacement")/("Time")`
(b)Average sped
`v_(av) = ("Distance")/("Time")`
Between 0 to 50 min
` {:("Total distance"),("travelled"):}}= 2 . 5 + 2 . 5 = 5 km `
`{:("Total"),("displacement"):}}= zero`
`vec(v)_(av) = 0`
`v_(av) = (5)/((5)/(6))= 6 `km /hr


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