We can use our knowledge of air resistance to calculate itseffect on a baseball in 2-dimensional projectile motion.
The effect of air resistance can be modeled with an extraacceleration term, so that the acceleration is no longer simply ?a= ?g but rather
?a = ?g ? bv?v
We will use b = 0.002 m^(?1), a reasonable value for a baseballflying through the air.
Let the initial velocity of the ball be 35 m/s at an angle of42? above the horizontal.
(a) Write the expressions for ax and ay as functions of vx andvy.
(b) Write the expressions for x,y,vx, and vy as a function of tduring the flight of the ball.
(c) How much shorter is the total range of the ball, due tolosses from air resistance?
