Hello there,
Clearly we know that the SI Unit of velocity is metre/second i.e. m/s.
Now as v = ar + br^2, then clearly, ar has unit m/s and also br^2 has also the unit m/s
So, br^2 = m/s
Now unit of r (displacement) is m.
So b. m ^ 2 = m/s.
Hence unit of b will be 1/ms
Hope it helps.
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