The velocity of a particle depends upon t as V = A + Bt + ct^2

• Measurement

The velocity of a particle depends upon t as V = A + Bt + ct². If velocity is in m/s, the unit of A will be

1. m/s
2. m/s²
3. m.s
4. m²/s

Solution

The magnitudes of physical quantities can be added together or subtracted from one another only if they have the same dimensions. So, the dimensions of A has to be same as the dimensions of velocity, m/s.

Correct option is A.