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Momentary Speed

An object moves along the $x$-axis. Its actual position at the time $t$ can be described with the function $$x(t) = 5t^2 + 10t$$ What is the speed of the object at the time $t=2\,\mathrm{s}$? Solution

The derivate with respect to $t$ is given as $$v(t) = 10t + 10$$. At the time $t=2\,\mathrm{s}$, the speed of the object is then $$v(2) = 30 \mathrm{m}/{s}$$

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Last modified: 2022-10-01 20:46:28 by mustafa

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Momentary Speed