A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations p² = Ae-2k - (upward motion) k o² = - Bek k (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cg/m where cą is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.) %3D
A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations p² = Ae-2k - (upward motion) k o² = - Bek k (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cg/m where cą is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.) %3D
Related questions
Question
Transcribed Image Text:A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with
speed, show that the speed varies with height according to the equations
v² = Ae
k
- (upward motion)
o² =- Bek (downward motion)
k
in which A and B are constants of integration, g is the acceleration of gravity, andk = cz/m
where cą is the drag constant and m is the mass of the bullet. (Note: x is measured positive
upward, and the gravitational force is assumed to be constant.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
