The relationship between $\alpha$ , p, q and t is given by $\alpha = q + pt$ where t is time in seconds. If p has units of $ms^{-1}$ what are the units of q?

ms^{-1}

ms^{-2}

Cms

Explanation

For the equation to be dimensionally consistent, q must have the same units as α and as pt. pt = ms^-1 × s = m. So q has units of m.

ZIMSEC Physics Paper 1, November 2010, Q1

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