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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Motion in One Dimension

NEET 2011 · Physics · Motion in One Dimension

A body is moving with velocity 30 ~m / s towards east. After 10 ~s...

A body is moving with velocity 30 m/s30 \mathrm{~m} / \mathrm{s} towards east. After 10 s10 \mathrm{~s} its velocity becomes 40 m/s40 \mathrm{~m} / \mathrm{s} towards north. The average acceleration of the body is

Options

  1. A7 m/s27 \mathrm{~m} / \mathrm{s}^2
  2. B7 m/s2\sqrt{7} \mathrm{~m} / \mathrm{s}^2
  3. C5 m/s25 \mathrm{~m} / \mathrm{s}^2
  4. D1 m/s21 \mathrm{~m} / \mathrm{s}^2

Correct answer

C. 5 m/s25 \mathrm{~m} / \mathrm{s}^2

Step-by-step solution

\begin{aligned}& \text{ Average acceleration }=\frac{\text{ Change\text{ in } velocity }}{\text{ Total time }}\\ & \qquad \begin{aligned}a & =\frac{\left|\overrightarrow{\mathbf{v}}_f-\overrightarrow{\mathbf{v}}_i\right|}{\Delta t}\\ & =\frac{\sqrt{30^2+40^2}}{10}=\frac{\sqrt{900+1600}}{10}\\ & =5 \mathrm{~ms}^{-2} \end{aligned} \end{aligned}$
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