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NEET
Exam
NEET
Subject
Physics
Chapter
Motion in One Dimension

NEET · Physics · Motion in One Dimension

The velocity-time graph of a body moving in a straight line is...

The velocity-time graph of a body moving in a straight line is shown in fig. Find the displacement and distance travelled by the body in 10 seconds.
The velocity-time graph of a body moving in a straight line is shown in fig. Find the displacement and distance

Options

  1. A50 m,90 m50 \mathrm{~m}, 90 \mathrm{~m}
  2. B5 m,9 m5 \mathrm{~m}, 9 \mathrm{~m}
  3. C9 m,5 m9 \mathrm{~m}, 5 \mathrm{~m}
  4. D90 m,50 m90 \mathrm{~m}, 50 \mathrm{~m}

Correct answer

A. 50 m,90 m50 \mathrm{~m}, 90 \mathrm{~m}

Step-by-step solution

The velocity-time graph of a body moving in a straight line is shown in fig. Find the displacement and distance

Total distance covered in 10 s=10 \mathrm{~s}= Area 1+1+ Area 2+2+ Area 3
\\ \Rightarrow 12×\frac{1}{2} \times6 ×\times20+12×\frac{1}{2} \times2 ×\times20+12×\frac{1}{2} \times2 ×\times10=90  m\mathrm{~m}\\ \\ Total displacement in 10 s=10 \mathrm{~s}= Area 1−1- Area 2 + Area 3 \\ \\ \Rightarrow 12×\frac{1}{2} \times6 ×\times20-12×\frac{1}{2} \times2 ×\times20+12×\frac{1}{2} \times2 ×\times10=50  m\mathrm{~m}\\
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