Subjective Type

The position of a particle moving along the $$X$$ axis depends on the time according to the equation $$X$$ = $$ct^{2} - bt^{3}$$, where $$X$$ is in meters and $$t$$ in seconds.What are the units of constant $$c$$ ?

Solution

In this solution, we make use of the notation $$X(t)$$ for the value of $$X$$ at a particular $$t$$.The notations $$V(t)$$ and $$a(t)$$ have similar meanings. Since the unit of $$ct^{2}$$ is that of length, the unit of $$c$$ must be that of length/time$$^{2}$$, or m/s$$^{2}$$ in the SI system.

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