Question

In this function P₀ is the air pressure at the surface of the earth and h is the height above the surface of the earth measured in meters. Which expression best represents the air pressure at an altitude of 3,000 meters?

a) P₀ - 3000h
b) P₀ / 3000
c) P₀ + 3000
d) P₀ * 3000

Answer 1

The air pressure at an altitude of 3,000 meters can be calculated using the formula P = P₀ * e^(-h/h₀). However, since the value of h₀ is not provided, we cannot determine the exact air pressure.

Step-by-step explanation:

The air pressure at an altitude of 3,000 meters above the surface of the earth can be calculated using the formula:

P = P₀ * e^(-h/h₀)

where P is the air pressure at the given altitude, P₀ is the air pressure at the surface of the earth, h is the height above the surface of the earth, and h₀ is a constant representing the scale height of the atmosphere. Since the question does not provide the value of h₀, we cannot determine the exact air pressure at an altitude of 3,000 meters.