Question

If the resistance is assumed to be proportional to the square of the velocity, which relationship accurately represents this scenario?

a) R ∝ v
b) R ∝ v²
c) R ∝ 1/v
d) R ∝ 1/v²

Answer 1

The correct relationship depicting resistance as proportional to the square of velocity is R ⋅ v².

Step-by-step explanation:

When resistance is said to be proportional to the square of the velocity, it implies that as velocity changes, the resistance changes by the square of that change in velocity. This concept is analogous to other physical relationships where a quantity depends on the square of another, such as the kinetic energy of a car, which is directly proportional to the square of its velocity. Hence, the proper relationship representing this scenario is R ⋅ v², which means resistance R is proportional to the square of velocity v.