Velocity-time Graph

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The velocity-time graph for a particle starting from rest is a straight line. If the particle travels 100 m in 10 seconds, what is the acceleration?

RankGuru · Accepted Answer

1. **Inference from Graph**: A straight line on a $v$-$t$ graph means **constant acceleration**.
2. **Equation of Motion**: For $u=0$, $s = \frac{1}{2}at^2$.
3. **Substitution**:
   - $100 = \frac{1}{2} 	imes a 	imes (10)^2$.
   - $100 = 50a$.
4. **Result**: $a = 2$ m/s$^2$.
5. **Note**: The final velocity reached would be $v = at = 20$ m/s.

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Velocity-time Graph

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