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a) On a planet where the acceleration due to gravity is given by a(t) = -8m/s^2,...

a) On a planet where the acceleration due to gravity is given by a(t) = -8m/s^2, derive a formula for s(t) , the height of an object above the surface of the planet, where the objects initial height is s subzero, and objects initial velocity is v subzero.

b) If an object is launched from the ground on this planet with an initial velocity of 500 m/s, what is the total distance the object will travel?
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