Question

The velocity of a body is given by v = At² + Bt + C. If v and t are expressed in SI units, what are the units of A, B and C?

Answer 1

Hii dear,

# Answer- Units of A, B and C are m.s^-3, m.s^-2 and m.s^-1 respectively.

# Explaination-
According to dimension analysis, all terms in an equation must have same dimension and units.

As v & t are expressed in SI units i.e. m/s and s respectively, all terms must have unit m/s.

Consider a, b and c be the units of A, B and C respectively.
Ignoring the quantities if we write just the units,
m/s = as^2 + bs + c
Comparing both sides we'll get,
a = m.s^-3
b = m.s^-2
c = m.s^-1

Hence units of A, B and C are m.s^-3, m.s^-2 and m.s^-1 respectively.

Answer 2

Answer:

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