If a planet in our solar system had an 11.2-day orbit, kepler’s third law would say it is about 0.1 au from the sun. proxima is less massive than the sun, so an 11.2-day planet would be closer in than 0.1 au, according to the modified version of kepler’s third law. (with less mass at the center, a 0.1-au planet wouldn’t have to travel as fast in its orbit to “outrun” the star’s gravity.)
let’s figure out just how far away this planet would be from its star. this planet is not going around the sun, so we’ll need to use the extra correction factor in kepler’s third law.

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Connie has $660,000 she wants to save. if the fdic insurance limit per depositor, per bank, is $250,000, which of these way is distributing her money between three banks will guarantee that all of her money is insured ?

On a hot saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 22degreesc. at noon the air conditioner is turned off, and the people go home. the temperature outside is a constant 33degreesc for the rest of the afternoon. if the time constant for the building is 4 hr, what will be the temperature inside the building at 4 : 00 font size decreased by 2 upper p . font size decreased by 2 upper m .? at 6 : 00 font size decreased by 2 upper p . font size decreased by 2 upper m .? when will the temperature inside the building reach 24degreesc? 324281