An astronaut on planet aarp notices a verticle pole casts no shadow in the light

Question

An astronaut on planet aarp notices a verticle pole casts no shadow in the light of the planet's sun. at the same time, her fellow astomaut 400 miles away has a pole that casts a shadow 1/5 as long as the pole. wht is the radius of planet aarp.

I keep getting 2,000. if this is right, please let me know the steps.

also, a ball falls from rest under the influence of rgravity, what is it.s speed after 2 sec?

how far does it fall in 2s?

and. a ball is thrown downward with a speed of 12m/s. what is its speed after 2sec?

how far does it fall in 2 sec?

Explanation / Answer

For the planet problem, I am pretty sure you need the distance from the planet to the sun in order to solve it. For the ball: a.) After 2 seconds, the ball will have a speed of: Vf = Vi + a * t Vf = 0 + (9.8) * 2 Vf = 19.6 m/s b.) In the 2 seconds, the ball falls: d = Vi * t + (1/2) * a * t^2 d = 0 + (1/2) * 9.8 * 2^2 d = 19.6 meters c.) If a ball is thrown downward at a speed of 12 m/s, its speed after 2 seconds is: Vf = Vi + a * t Vf = 12 + 9.8 * 2 Vf = 31.6 m/s d.) In the 2 seconds, it falls: d = Vi *t + (1/2) * a * t^2 d = 12 * 2 + (1/2) * 9.8 * 2^2 d = 43.6 meters

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