Question

the velocity of a body is V=A+Bt,then what are the dimension of A and B.

Answer 1

Answer:A = LT^-1

B = LT ^-2

Explanation:

Since A is A constant So Dimension of A = Dimension of v

For B

LT^-1 = B * T

Hence B = LT^-2

Answer 2

Answer:

A = [LT^-1]

B = [LT^-2]

Explanation:

v = A + Bt

In addition, all of them which are being added should possess same units. For e.g. 5 kg + 2 kg makes sense & 5 kg + 2 km doesn't.

Unit of v should be equal to A and also to that of Bt

Unit of A = m/s

Unit of Bt = m/s

Unit of t is "s"

So,

Unit of B = (m/s) / s = m/s²

Dimensions of

A = [LT^-1]

B = [LT^-2]