Why do you think the area swept out by a planet in a given period of time remains constant, even as the planet speeds up and slows down?

Since there is no torque on the planet with respect to position of Sun

So the angular momentum of the planet is always constant

hence the rate of change in area with respect to sun is always constant

Explanation:

As we know that rate of area swept by the planet is given as

here we know that small area swept by the planet is given as

now rate of area swept by the planet is given as

so we have

here we know that angular momentum of the planet with respect to sun is given as

so we have

since we know that there is no torque on the system of planet with respect to sun

So angular momentum of the planet will remain constant

hence we can say

= constant always

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.