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A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg-kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravityg is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places. Choose the correct answer from among the given choices. 1.23 seconds 2.89 seconds 3.25 seconds 4.01 seconds

A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg-kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravityg is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places. Choose the correct answer from among the given choices. 1.23 seconds 2.89 seconds 3.25 seconds 4.01 seconds

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Problem begins here: A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at timet (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg-kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places. Choose the correct answer from among the given choices. 1.23 seconds 2.89 seconds (C) 3.25 seconds 4.01 seconds 4.20 seconds 5.00 seconds G) 5.31 seconds H 6.20 seconds
Transcribed Image Text:Problem begins here: A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at timet (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg-kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places. Choose the correct answer from among the given choices. 1.23 seconds 2.89 seconds (C) 3.25 seconds 4.01 seconds 4.20 seconds 5.00 seconds G) 5.31 seconds H 6.20 seconds
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