Question 32: Motion in 1D

Question

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

Accepted Answer

$A B=B C=C D$
$$
\begin{aligned}
\Rightarrow 	ext { Average speed } & =\frac{	ext { Distance }}{	ext { Time }} \\
& =\frac{A D}{\frac{A B}{V_{1}}+\frac{A B}{V_{2}}+\frac{A B}{V_{3}}} \\
& =\frac{3 V_{1} V_{2} V_{3}}{V_{1} V_{2}+V_{2} V_{3}+V_{1} V_{3}}
\end{aligned}
$$

Answer

$${{{v_1}{v_2}{v_3}} \over {3({v_1}{v_2} + {v_2}{v_3} + {v_3}{v_1})}}$$

Answer

$${{({v_1} + {v_2} + {v_3})} \over 3}$$

Answer

$${{({v_1} + {v_2} + {v_3})} \over {3{v_1}{v_2}{v_3}}}$$

Answer

$${{3{v_1}{v_2}{v_3}} \over {({v_1}{v_2} + {v_2}{v_3} + {v_3}{v_1})}}$$

Motion in 1D

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

Choose the correct answer: