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A point particle of mass $0.5 \mathrm{~kg}$ is moving along the $\mathrm{x}$-axis under a force described by the potential energy $\mathrm{V}$ shown below. It is projected towards the right from the origin with a speed $\mathrm{v}$. What is the minimum value of $v$ for which the particle will escape infinitely fasr away from the origin?
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The correct answer is:
$2 \mathrm{~ms}^{-1}$
$\frac{1}{2} m v^{2}+0=0+1$
$v^{2}=4$ or $v=2 \mathrm{~m} / \mathrm{s}$
$v^{2}=4$ or $v=2 \mathrm{~m} / \mathrm{s}$
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