Class 11th Physics Motion in Straight Line Acceleration Physics

A particle is moving with constant acceleration 'a'. Following graph shows $ν^{2}$ versus x (displacement) plot. The acceleration of the particle is______ m/s².

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Vishal Baghel | Contributor-Level 10

6 months ago

Equation from the given graph:

$\begin{array}{l} v^{2} = 2 x + 20 \\ v^{2} = 2 x + 20 \\ \Rightarrow 2 V \frac{d V}{d t} = 2 V \end{array}$

=>a = 1m/s²

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A particle is moving in a straight line such that its velocity is increasing at 5 ms^-1 per meter. The acceleration of the particle is _________ms^-2 at a point where its velocity is 20 ms^-1.

$t a n θ = \frac{d v}{d x} = 5 (m / s) / m$

$\Rightarrow d v = 5 d x \Rightarrow \frac{d v}{d t} = 5 \frac{d x}{d t}$

$\Rightarrow a = 5 v = 5 \times 20 = 100 m / s^{2}$

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Physics Motion in Straight Line 2025

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