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Question: Answered & Verified by Expert
A car moves from $\mathrm{X}$ to $\mathrm{Y}$ with a uniform speed $v_u$. The average speed for this round trip is :
PhysicsMotion In One DimensionNEETNEET 2007
Options:
  • A $\sqrt{v_u v_d}$
  • B $\frac{v_d v_u}{v_d+v_v}$
  • C $\frac{v_u+v_d}{2}$
  • D $\frac{2 v_d v_u}{v_d+v_u}$
Solution:
1242 Upvotes Verified Answer
The correct answer is: $\frac{2 v_d v_u}{v_d+v_u}$
Average speed
$\begin{aligned}
& =\frac{\text { Total distance }}{\text { Total time }} \\
& =\frac{2 d}{\frac{d}{V_u}+\frac{d}{V_d}}=\frac{2 V_d V_u}{V_d+V_u}
\end{aligned}$

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