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First of all, as already mentioned, yes $t$ is in units of hours. An equility remains an equality after introducing units. Hence, the unit on the RHS and the LHS have to agree and in fact also the sum of two quantities (as $3.6m/s+ 1km/h$) can only be simplified when both have the same unit! Clarifications of the appearance of units Units are actually a ...


Yes, if you use same units then there will be no change. If you use all measurements in fps then also formula remains valid. It is universal, given all units are in same scale.


As long as your units are consistent you can use any units you want and the equation will be unchanged. A change would only be required if you started mixing up the units e.g. specifying the velocity in m/s and the acceleration in km/h$^2$.


An important point here is that you don't just convert from Coulombs to ESU. You also change the units of various constants that appear in the expressions of electromagnetism. The most obvious example is, Coulomb's Law $$\begin{align*} F_{SI} &= \left (8,99 \times 10^9 \,\mathrm{N \, m^2/C^2}\right) \frac{q_{1, C} \, q_{2, C}}{r^2} \\ F_{guass} &= ...


The unit langley is amount of energy distributed over an area found in solar radiation, named after Samuel Pierpont Langley. The conversion is straight-forward: $$ 1\frac{\rm ly}{\rm min}=697.3\,\frac{\rm W}{\rm m^2} $$ So you'll have to do some more unit conversions to get the ly/day to W/m$^2$ conversion. See also this site for other unit conversions ...

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