Question

A person travels along a straight road for the first half
length with a velocity v, and the second halflength with a
velocity V,. Then the mean velocity v is given by​

Answer 1

Answer:

$Average Velocity=2Vv/V+v$

Explanation:

Let the distance covered in first half be'$x$'

Hence the Velocity of 1st half=

$v=x/t$

Here '$t$' is time for first half

$t=x/v$

Velocity for second half=

$V=x/T$

Here'$T$' is time for second half

$T=x/V$

By Formula of Average Velocity

$Average Velocity=Total Displacement/Total Time taken$

$=x+x/t+T\\=x+x/(x/v)+(x/V)\\=x+x/xV+xv/vV\\=x+x/x(V+v)/vV\\=2x*vV/x(v+V)\\=2vV/v+V$

OR

$2Vv/V +v$