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The formula v=√—64d can be rearranged to solve for d:
d = (v^2) / 64
Plugging in the given average velocity of 98 m/s:
d = (98^2) / 64
d = 9604 / 64
d = 150.06
Rounded to the nearest whole number, the approximate distance the object was dropped is 150 meters.
Therefore, the closest option is D) 159 meters.