A car moves from X to Y with a uniform speed v_u . The average speed for this round trip is :

Correct answer: D. (2 v_d v_u)/(v_d+v_u) Average speed aligned & = Total distance Total time & =(2 d)/((d)/(V_u)+(d)/(V_d))=(2 V_d V_u)/(V_d+V_u) aligned

NEET 2007

Exam: NEET
Year: 2007
Subject: Physics
Chapter: Motion in One Dimension

NEET 2007 · Physics · Motion in One Dimension

A car moves from X to Y with a uniform speed v_u . The average...

A car moves from

\mathrm{X}

\mathrm{Y}

with a uniform speed

v_u

. The average speed for this round trip is :

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 $\frac{2 v_d v_u}{v_d+v_u}$

Correct answer

D. $\frac{2 v_d v_u}{v_d+v_u}$

Step-by-step solution

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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