(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have an equation for motion:

x(t) = x(0) + x(0) * k * t[itex]^{1.5}[/itex]

x is in meters and t is in seconds. I have to determine the unit of k.

2. Relevant equations

3. The attempt at a solution

x(t) = x(0) + x(0) * k * t[itex]^{1.5}[/itex]

[x(t)] = meters

Therefore, [x(0)] = meters and [x(0) * k * t[itex]^{1.5}[/itex]] = meters

meters * [k] * seconds[itex]^{1.5}[/itex] = meters

meters * (1/seconds[itex]^{1.5}[/itex]) * seconds[itex]^{1.5}[/itex] = meters

Does this mean the the unit of k is 1/seconds[itex]^{1.5}[/itex], 1/seconds, or something completely different?

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