A 4-kg projectile is fired vertically with an initial velocity of 9 m/s, reaches a maximum height, and falls to the ground. The aerodynamic drag D has a magnitude D = 0.0024 v2 where D and v are expressed in newtons and m/s, respectively. Knowing that the direction of the drag is always opposite to the direction of the velocity, determine (a) the maximum height of the trajectory, (b) the speed of the projectile when it reaches the ground.
A 4-kg projectile is fired vertically with an initial velocity of 9 m/s, reaches a maximum height, and falls to the ground. The aerodynamic drag D has a magnitude D = 0.0024 v2 where D and v are expressed in newtons and m/s, respectively. Knowing that the direction of the drag is always opposite to the direction of the velocity, determine (a) the maximum height of the trajectory, (b) the speed of the projectile when it reaches the ground.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 40P
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A 4-kg projectile is fired vertically with an initial velocity of 9 m/s, reaches a maximum height, and falls to the ground. The aerodynamic drag D has a magnitude D = 0.0024 v2 where D and v are expressed in newtons and m/s, respectively. Knowing that the direction of the drag is always opposite to the direction of the velocity, determine (a) the maximum height of the trajectory, (b) the speed of the projectile when it reaches the ground.
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