If y =a+bt+ct^2, where y is distance and t is time. what is the dimensions and unit of c?

c must have units of distance/time^2

Explanation:

Since y must be in units of distance, then all the terms that add up to give "y" must all have units of distance. That means that also the last term c * t^2 has units of distance, and therefore, if the product of c times t^2 produces a distance, then c must have units of distance divided the square of time units, so when multiplied by t^2 the time units in denominator and numerator cancel out.

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