The velocity upsilon of a particle is gi...

The velocity `upsilon` of a particle is given by `upsilon = A t^2 +Bt.` What are the dimensions of A and B ?

Verified by Experts

`A = (upsilon)/(t^2) = (LT^(-1))/(T^2) = LT^(-3) = [M^0 L^1 T^(-3)]`
`B = (upsilon)/(t) = (LT^(-1))/(T) = LT^(-2) = [M^0 L^1 T^(-2)]`

Similar Questions

Explore conceptually related problems

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

A force F is given by F = at+ bt^(2) , where t is time. The dimensions of a and b are

If the force is given by F=at+bt^(2) with t is time. The dimensions of a and b are

Velocity v is given by v=at^(2)+bt+c , where t is time. What are the dimensions of a, b and c respectively?

The linear momentum p of a particle is given as a function of time t as p=At^2+Bt+C .The dimensions of constant B are