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JEE Mains · Physics · STD 11 - 2. motion in straight line

The displacement x versus time graph is shown below.

(A) The average velocity during 0 to 3 s is \(10 \mathrm{~m} / \mathrm{s}\)
(B) The average velocity during 3 to 5 s is \(0 \mathrm{~m} / \mathrm{s}\)
(C) The instantaneous velocity at \(\mathrm{t}=2 \mathrm{~s}\) is \(5 \mathrm{~m} / \mathrm{s}\)
(D) The average velocity during 5 to 7 s and instantaneous velocity at \(\mathrm{t}=6.5 \mathrm{~s}\) are equal
(E) The average velocity from \(t=0\) to \(t=9 \mathrm{~s}\) is zero
Choose the correct answer from the options given below:

  1. A (A), (D), (E) only
  2. B (B), (C), (D) only
  3. C (B), (D), (E) only
  4. D (B), (C), (E) only
Verified Solution

Answer & Solution

Correct Answer

(D) (B), (C), (E) only

Step-by-step Solution

Detailed explanation

\begin{aligned} & \langle\overrightarrow{\mathrm{v}}\rangle=\frac{\Delta \overrightarrow{\mathrm{s}}}{\Delta \mathrm{t}}=\frac{\mathrm{S}_{\mathrm{f}}-\mathrm{S}_{\mathrm{i}}}{\mathrm{t}_{\mathrm{f}}-\mathrm{t}_{\mathrm{i}}} \\ &…

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