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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.
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 ...
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.
A spherical projectile of mass $m$ launched with some initial velocity moves under the influence of two forces: gravity, $\boldsymbol {F}_g = -mg\boldsymbol {\hat {z}}$, and air resistance (drag), $\boldsymbol {F}_D = -\frac {1} {2}c\rho A v^2 \boldsymbol {v}/|\boldsymbol {v}| = -\frac {1} {2}c\rho A v\boldsymbol {v}$, acting in the opposite ...
Use one-dimensional motion in perpendicular directions to analyze projectile motion. Calculate the range, time of flight, and maximum height of a projectile that is launched and impacts a flat, horizontal surface.
Projectile Motion Definition: • body of mass m launched with speed v0 at angle θ from the horizontal; • air resistance F P res = − b v P , b = nonnegative constant (possibly zero) x z F = –mg m θ z v 0 Prerequisites: • fundamentals of Newtonian mechanics • motion in one dimension, with and without res-istance Why study it?
Here we will consider realistic and accurate models of air resistance that are used to model the motion of projectiles like baseballs.
