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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Mathematics in Physics

JEE Main 2005 · Physics · Mathematics in Physics

A particle is moving eastwards with a velocity of 5 ~m / s in 10...

A particle is moving eastwards with a velocity of 5 m/s5 \mathrm{~m} / \mathrm{s} in 10 seconds the velocity changes to 5 m/s5 \mathrm{~m} / \mathrm{s} northwards. The average acceleration in this time isA particle is moving eastwards with a velocity of 5 ~m / s in 10 seconds the velocity changes to 5 ~m / s northwards.

Options

  1. A12 m/s2\frac{1}{\sqrt{2}} \mathrm{~m} / \mathrm{s}^2 towards north-east
  2. B12 m/s2\frac{1}{2} \mathrm{~m} / \mathrm{s}^2 towards north.
  3. Czero
  4. D12 m/s2\frac{1}{\sqrt{2}} \mathrm{~m} / \mathrm{s}^2 towards north-west

Correct answer

D. 12 m/s2\frac{1}{\sqrt{2}} \mathrm{~m} / \mathrm{s}^2 towards north-west

Step-by-step solution

A particle is moving eastwards with a velocity of 5 ~m / s in 10 seconds the velocity changes to 5 ~m / s northwards.
a→=V→f−V→it\overrightarrow{\mathrm{a}}=\frac{\overrightarrow{\mathrm{V}}_{\mathrm{f}}-\overrightarrow{\mathrm{V}}_{\mathrm{i}}}{\mathrm{t}} =5j^−5i^10=12(j^−i^)=\frac{5 \hat{\mathrm{j}}-5 \hat{\mathrm{i}}}{10}=\frac{1}{2}(\hat{\mathrm{j}}-\hat{\mathrm{i}}) ∴a=12 ms−2\therefore \mathrm{a}=\frac{1}{\sqrt{2}} \mathrm{~ms}^{-2} towards north west
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