Question

An object is thrown upwards with a speed v from Planet X reaches a maximum height of 4 m. The gravitational field strength on Planet Y is one-fourth as great. Determine the maximum height an object will reach if it is thrown upward on Planet Y with a speed 2 v .

since on planet X, v^2 = 2gh
on planet Y,
(2v)^2 = 2(g/4)h'
h' = 8h

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