2. We saw in class that air resistance reduces the range baseballs can fly. We could imagine that air

resistance is like wind. It would apply a constant, horizontal acceleration that slows the the baseball

down. Because the ball slows down, it does not travel as far as our range equation predicts. [20

points]

a. Derive the equation for the horizontal range of the ball with wind slowing the ball down. You can

assume the ball starts and lands at the same height. [ 13 points ]

Use these variables for your derivation:

• The initial speed of the baseball is vo

• The baseball initially has an angle of above the ground

•

The wind causes a horizontal acceleration of and

The range for the ball is Rain. This is the variable you are finding an equation for.

b. Show that your equation for Rain will equal our normal range equation if the wind acceleration

is zero. [2 points ]

c. In class, we saw that CJ Cron's home run traveled an actual distance of 154m, after he hit it at an

angle of 37° and a speed of 49.17m/s.

Calculate the acceleration from the wind that would make the ball travel only 154m. [5 points ]