Question

The volume of an object as a function of time is V(t) = At³, where A is a constant. Let L and T denote dimensions of length and time, respectively. What is the dimension of the constant A?
a) L³ x T³
b) L² / T
c) L³ / T³
d) L / T³
e) L / T

Answer 1

Answer:

c) L³/T³

Explanation:

If t stands for time, the units are:

(V) = L³, (t) = T

The units for the equation:

V(t) = At³

must be:

$L^{3} = \frac{L^{3} }{T^{3}} T^{3}$