JEE Mains · Physics · STD 11 - 2. motion in straight line
A body starts moving from rest with constant acceleration covers displacement \(S_1\) in first \((p-1)\) seconds and \(S_2\) in first \(p\) seconds. The displacement \(S_1+S_2\) will be made in time :
- A \((2 \mathrm{p}+1) \mathrm{s}\)
- B \(\sqrt{\left(2 \mathrm{p}^2-2 \mathrm{p}+1\right) \mathrm{s}}\)
- C \((2 \mathrm{p}-1) \mathrm{s}\)
- D \(\left(2 p^2-2 p+1\right) s\)
Answer & Solution
Correct Answer
(B) \(\sqrt{\left(2 \mathrm{p}^2-2 \mathrm{p}+1\right) \mathrm{s}}\)
Step-by-step Solution
Detailed explanation
\(S_1\) in first \((p-1) \mathrm{sec}\) \(S_2\) in first \(p\) sec \( \mathrm{S}_1=\frac{1}{2} \mathrm{a}(\mathrm{p}-1)^2 \) \( \mathrm{~S}_2=\frac{1}{2} \mathrm{a}(\mathrm{p})^2 \) \( \mathrm{~S}_1+\mathrm{S}_2=\frac{1}{2} \mathrm{at}^2 \)…
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