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AP EAMCET · PHYSICS · Motion In One Dimension

A particle starts from rest and moves in a straight line. It travels a distance 2 L with uniform acceleration and then moves with a constant velocity a further distance of L. Finally, it comes to rest after moving a distance of 3L under uniform retardation. Then the ratio of average speed to the maximum speed \(\left(\frac{\bar{V}}{V_m}\right)\) of the particle is

  1. A \(\frac{6}{11}\)
  2. B \(\frac{7}{11}\)
  3. C \(\frac{5}{11}\)
  4. D \(\frac{2}{11}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{6}{11}\)

Step-by-step Solution

Detailed explanation

The \(v\)-t graph of the particle is \(\begin{aligned} & 2 L=\frac{1}{2} v_{\max } \times t_1 \Rightarrow t_1=\frac{4 L}{v_{\max }} \\ & L=v_{\max } \times t_2 \Rightarrow t_2=\frac{L}{v_{\max }}\end{aligned}\)…
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