If Velocity of particle at any instant`t` is given by v=ar+br2, the dimension of `b' will be
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.