Assume no wind resistance. Left field outfield fence runs parallel to first base line for 135 ft at a distance of 360 ft from homeplate. We shall assume there is no air resistance.
Extensions Do the same problem with resistance.
Now we examine the ball park's outfield fences. We consider the distance function to the center field fence, plot it, and determine where its derivative is zero and hence where the distance is greatest as well as its greatest distance value. We shall assume there is no air resistance. And thus we have the parabolic path of the ball in terms of distance x from the plate. Remember we do not have air resistance in this model.