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  4. An object moves with speed v1, v2 and v3 along a line segment AB , BC and C D respectively as shown in figure. Where AB = BC and AD =3 AB, then average speed of the object will be:

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Q. An object moves with speed $v_1, v_2$ and $v_3$ along a line segment $AB , BC$ and $C D$ respectively as shown in figure. Where $AB = BC$ and $AD =3 AB$, then average speed of the object will be:Physics Question Image

JEE MainJEE Main 2023Motion in a Straight Line

Solution:

$ AB =x $
$ BC =x $
$ 2 x+ CD =3 x$
$CD = x$
$\langle v \rangle=\frac{3 x}{\frac{x}{v_1}+\frac{x}{v_2}+\frac{x}{v_3}}=\frac{3 v_1 v_2 v_3}{v_2 v_3+v_1 v_3+v_1 v_2}$