When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v² with the force acting in opposition to the motion of the object. A shell of mass 3 kg is shot upward from the ground with an initial velocity of 800 m/sec. If the magnitude of the force due to air resistance is (0.1)v2, when will the shell reach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s². When will the shell reach its maximum height above the ground? The shell will reach maximum height after 2.71 seconds. (Round to two decimal places as needed.) What is the maximum height? The maximum height is m. (Round to the nearest whole number as needed.)
When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v² with the force acting in opposition to the motion of the object. A shell of mass 3 kg is shot upward from the ground with an initial velocity of 800 m/sec. If the magnitude of the force due to air resistance is (0.1)v2, when will the shell reach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s². When will the shell reach its maximum height above the ground? The shell will reach maximum height after 2.71 seconds. (Round to two decimal places as needed.) What is the maximum height? The maximum height is m. (Round to the nearest whole number as needed.)
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v² with
the force acting in opposition to the motion of the object. A shell of mass 3 kg is shot upward from the ground with an
initial velocity of 800 m/sec. If the magnitude of the force due to air resistance is (0.1)v², when will the shell reach its
maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be
9.81 m/s².
When will the shell reach its maximum height above the ground?
The shell will reach maximum height after 2.71 seconds.
(Round to two decimal places as needed.)
What is the maximum height?
The maximum height is ☐
m.
(Round to the nearest whole number as needed.)
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