Suppose an object falls from a great height on a planet where the constant of the...

Suppose an object falls from a great height on a planet where the constant of the acceleration of gravity is g = 7.84. Assume that the resistance of the atmosphere is proportional to the square of the velocity of the object with constant of proportionality k = 0.25. Establish and solve an Initial Value Problem to express the velocity of the object as a function of time. Find the terminal velocity of the object. Graph this function. Then express the fall distance as a function of time. Graph this function. Hint: g − kv2 = (√g − (√k)*v) (√g + (√k)*v)

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