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Acceleration

Displacement ...

Question

Displacement of an object as a function of time $t$ is given by $x = A t + B t^{2}$ . Find its velocity and acceleration

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Solution

Velocity is given as $time derivative of displacement whereas acceleration is time derivative of velocity$
So velocity $v = d x / d t = A + 2 B t$

Acceleration $a = d v / d t = 0 + 2 B = 2 B$

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