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Paper 1 · units and dimensions

The relationship between α\alpha, p, q and t is given by α=q+pt\alpha = q + pt where t is time in seconds. If p has units of ms1ms^{-1} what are the units of q?

Ams1ms^{-1}
Bms2ms^{-2}
Cms
Dm
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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