If a planet was located approximately 24 thousand light-years from the center of a galaxy and orbits that center once every 194 million years, how fast is the planet traveling around the galaxy in km/hr? If needed, use 3.0 × 108 m/s for the speed of light.

84km/hr

Explanation:

To find one light yr

= 3E8m/s x 24x 365/1000

= 996980E7kms

So

Radius of orbit for 24000light years

=996980E7kms x 24000

Total orbit distance is = 2πr

= 2 *π x 996980E7kms x 24000

Total time will be

= 194E6 x 24x365 hrs

Finally speed = distance/ time

= 2 *π x 996980E7kms x 24000/194E6 x 24x365 hrs

= 84km/hr

d) physical means can be used to separate the components of air.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y