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

We can use our knowledge of air resistance to calculate its effect on a baseball in 2-dimensional projectile motion.

The effect of air resistance can be modeled with an extra acceleration term, so that the acceleration is no longer simply ⃗a = ⃗g but rather

⃗a = ⃗g − bv⃗v
We will use b = 0.002 m^(−1), a reasonable value for a baseball flying through the air.

Let the initial velocity of the ball be 35 m/s at an angle of 42◦ above the horizontal.

(a) Write the expressions for ax and ay as functions of vx and vy.

(b) Write the expressions for x,y,vx, and vy as a function of t during the flight of the ball.

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Expert Solution

Colby Messinger answered 1 year ago

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