The velocity of a particle depends upon as v = a + bt + ct2 where t is time. The units of a and b can be:
The correct options are
A a: m/s
B a: cm/s
v = a + bt + ct2
v has the units of speed.
Two quantities can be added only if they have the same units.
Hence, a and bt has units of speed.
Given, t is time. Hence, b has the units of speed per unit time.
So, from the options, units of a can be m/s or cm/s.
And, units of b can be m/s2 or cm/s2.