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1st Equation of Motion

The motion of...

Question

The motion of a particle of mass $m$ is described by $y = u t + \frac{1}{2} g t^{2}$ . Find the force acting on the particle.

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Solution

$y = u t + \frac{1}{2} g t^{2}$
$\frac{d y}{d t} = V_{y} = u + g t$
$\frac{d^{2} y}{d t^{2}} = a_{y} = g$
$\to F = m a = m a_{y} = m g$

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