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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2010 · Physics · Motion in Two Dimensions

A particle has initial velocity (3 i +4 j ) and has acceleration...

A particle has initial velocity (3i^+4j^)(3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}) and has acceleration (0.1i^+0.3j^)(0.1 \hat{\mathrm{i}}+0.3 \hat{\mathrm{j}}). Its speed after 10 s10 \mathrm{~s} is

Options

  1. A7 unit
  2. B727 \sqrt{2} unit
  3. C8.5 unit
  4. D10 unit

Correct answer

B. 727 \sqrt{2} unit

Step-by-step solution

From first equation of motion v=u+atv=3i^+4j^+10(0.4i^+0.3j^)v=7i^+7j^∣v∣=72\begin{aligned}\mathrm{v}& =\mathrm{u}+\mathrm{at}\\ \mathrm{v}& =3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+10(0.4 \hat{\mathrm{i}}+0.3 \hat{\mathrm{j}}) \\ \mathrm{v}& =7 \hat{\mathrm{i}}+7 \hat{\mathrm{j}} \\ |\mathrm{v}|& =7 \sqrt{2} \end{aligned}
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