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A stone of mass m falls from the top of a tower of height 150...

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A stone of mass m falls from the top of a tower of height 150 m The stone s position y measured down from the top of the tower where y 0 as a function of time t is given as mg y t k m g k 1 e kt m where g is the gravitational acceleration and k is the air resistance coefficient Assuming that m 0 5 kg g 9 81 m s and k 0 01 kg m find numerically the time required for the stone to hit the ground Achieve an accuracy of six decimal places

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