1 point) One of Kepler's three laws of planetary motion states that the square of the period, P, of a body orbiting the sun is proportional to the cube of its average distance, d, from the sun. The Earth has a period of 365 days and its distance from the sun is approximately 93,000,000 miles. (a) Find P as a function of d. P(d)

P = √1.66 * 10^-19 days^2miles^-3d^3

Explanation:

The mathematical statement of Kepler's third law is;

P^2 α d^3

Where;

P = Period of the body orbiting the sun

d = its average distance from the sun

Introducing a constant of proportionality K, known as Kepler's constant then;

P^2 = Kd^3

K = P^2/d^3

P=365 days

d = 93,000,000 miles

K = (365)^2/(93,000,000)^3

K=1.66 * 10^-19 days^2miles^-3

P = √1.66 * 10^-19 days^2miles^-3d^3

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.