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We can use our knowledge of air resistance to calculate its effect on a baseball in...

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Advance Math

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?

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