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WBJEE · Physics · Motion In One Dimension

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared to that in the 3rd second is

  1. A \(33 \%\)
  2. B \(40 \%\)
  3. C \(66 \%\)
  4. D \(77 \%\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(40 \%\)

Step-by-step Solution

Detailed explanation

We know that \(S=u+\frac{1}{2} a(2 n-1)\) \(S_{3rd \text { sec}}=0+\frac{1}{2} a(2 \times 3-1)=\frac{5}{2} a\) (for \(n=3\) s) \(S_{4th \text { sec}}=0+\frac{1}{2} a(2 \times 4-1)=\frac{7}{2} a \quad(\) for \(n=4 \mathrm{s})\) So, the percentage increase…
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