Planet X has three times the free-fall acceleration of Earth. a. A ball is thrown vertically upward with the same initial velocity on Earth and on X. How does the maximum height reached by the ball on X compare to the maximum height on Earth? Justify your answer with both words and kinematics calculations. Your answer should state "The ball goes times higher on X."
b. Now, a ball is thrown vertically upward on X with three times the initial velocity of an identical ball on earth. How does the maximum height reached by the ball on X compare to the maximum height on Earth? Justify your answer with both words and kinematics calculations. Your answer should state "The ball goes times higher on X."

a) The ball goes one-third times higher on X

b) The ball goes three times higher on X.

Explanation:

a)

       since vf = 0, solving for Δh, we have:

       if v₀ₓ = v₀E, and gₓ = 3*gE, replacing in (1), we get:

     Δhₓ = 1/3 * ΔhE

      which confirms our intuitive reasoning.

b)    

      Replacing the right side of (1) in (2), we get:

      Δhx = 3* ΔhE

      which confirms our intuitive reasoning also.

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)

i already answered it by 34/s