First slide

Introduction to statistics

Question

A car completes the first half of its journey with a velocity $v_{1}$ and the rest half with a velocity $v_{2}$ . Then the average velocity of the car for the whole journey is

Moderate

A

$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$
B

$\frac{v_{1} + v_{2}}{2}$
C

$\sqrt{v_{1} v_{2}}$
D

none of these

Solution

The average velocity is the Harmonic mean of . $v_{1}$
and $v_{2}$
$∴$ Average Velocity $= \frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

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