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Ask students to guess what the motion of a projectile might depend on? Is the initial velocity important? Is the angle important? How will these things affect its height and the distance it covers? Introduce the concept of air resistance. Review kinematic equations.
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5.3 Projectile Motion; 5.4 Inclined Planes; 5.5 Simple...
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As discussed earlier, the short ranges and large masses of...
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Projectile Motion with Air Resistance. Suppose that a projectile of mass is launched, at , from ground level (in a flat plain), making an angle to the horizontal. Suppose, further, that, in addition to the force of gravity, the projectile is subject to an air resistance force which acts in the opposite direction to its instantaneous direction ...
In our study of projectile motion, we assumed that air-resistance effects are negli-gibly small. But in fact air resistance (often called air drag, or simply drag) has a major effect on the motion of many objects, including tennis balls, bicycle riders, and airplanes.
The normal Equation of motion is the Equation \( F = ma\) applied in a direction normal to the curve. The acceleration appropriate here is the centripetal acceleration \( \frac{V^{2}}{\rho}\) or \( V^{2}\frac{d\psi}{ds}\). In a direction normal to the motion, the air resistance has no component, and gravity has a component \( −g \cos\theta\).
Here we will consider realistic and accurate models of air resistance that are used to model the motion of projectiles like baseballs.
Here we use kinematic equations and modify with initial conditions to generate a “toolbox” of equations with which to solve a classic three-part projectile motion problem. Now, let’s look at two examples of problems involving projectile motion.
Learn about projectile motion by firing various objects. Set parameters such as angle, initial speed, and mass. Explore vector representations, and add air resistance to investigate the factors that influence drag.
