Purchase Solution

Projectile Motion with Air Drag

Not what you're looking for?

Ask Custom Question

I need help with these two questions:
2.12. 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:
v^2 = Ae^-2kx - g/k (upward motion)
v^2 = g/k - Be^2kx (downward motion)
in which A and B are constants of integration, g is the acceleration of gravity, and k =c2/m where c2 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).

2.18. The force acting on a particle of mass m is given by:
F = kvx
which k is a positive constant. The particle passes through the origin with speed vo at time t=0. Find x as a function of t.

Attachments
Purchase this Solution
Solution Summary

This solution contains detailed step-by-step calculations to show that the speed varies with height of the bullet and also the displacement of the particle passing through the origin.

Purchase this Solution
Free BrainMass Quizzes
Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

The Moon

Test your knowledge of moon phases and movement.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

View More Free Quizzes
Related BrainMass Solutions

  • Projectile Motion with Linear Drag

    487545 Projectile motion with linear drag A baseball is hit when is 3ft above a ground. it leaves that bat with initial of 104ft/sec, making an angle 18 degree with the horizontal.

  • Math and Computational physics programming in MATLAB

    Cd = 0.35; % Drag coefficient (dimensionless) area = 4.3e-3; % Cross-sectional area of projectile (m^2) grav = 9.81; % Gravitational acceleration (m/s^2) mass = 0.145; % Mass of projectile (kg) airFlag = input('Air resistance?

  • Solution to equation of motion of a projectile shot upward

    During the upward motion, forces on the projectile are: Downward gravitational force (mg) and the downward force of air resistance (kv^2).

  • speed of a bullet

    Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations: v^2 = g/k - Be^(2kx) (downward motion) v^2 = Ae^(-2kx) - g/k (upward motion) Please see the attached file

  • Projectile motion

    274266 Horizontal projectile motion: how long in the air, distance, magnitude, velocity A projectile is fired horizontally from a gun that is 51.0 m above flat ground, emerging from the gun with a speed of 110 m/s.

  • Projectile Motion: Kinetic Energy After Launch

    75109 Projectile Motion: Kinetic Energy After Launch A projectile of mass m is launched over level ground with an initial speed v at an angle theta to the horizontal. Neglecting air resistance, what is the kinetic energy just after launch?

  • Working with projectile motion

    13056 Working with projectile motion Please see the attached file for full problem description. A bomb flying in level flight must release its bomb before it is over the target.

  • Projectile Motion with a Baseball

    108795 Projectile Motion with a Baseball A baseball thrown at an angle of 60 degrees above the horizontal strikes a building 20m away at a point 8m above the point from which it is thrown. Ignoring air resistance.

  • projectile motion of football

    Due to the symmetry of projectile motion, the total air time is Therefore, the total air time is 1.02 s. In the horizontal direction, the football has constant velocity vx.

View More Related Solutions