A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, dra 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 gravity g is 9.8 meters per second squared. D not round off intermediate steps. Round off the final answer to two decimal places. Choose the correct answer from among the given choices. A 4.01 seconds B C D E F G H 1.23 seconds 4.20 seconds 3.25 seconds 5.31 seconds 6.20 seconds 2.89 seconds 5.00 seconds

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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 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.
A 4.01 seconds
B
D
E
F
G
1.23 seconds
4.20 seconds
3.25 seconds
5.31 seconds
6.20 seconds
2.89 seconds
H) 5.00 seconds
Transcribed Image Text: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 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. A 4.01 seconds B D E F G 1.23 seconds 4.20 seconds 3.25 seconds 5.31 seconds 6.20 seconds 2.89 seconds H) 5.00 seconds
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