Quick Homework Help

# Thanks Steve204 for your previous help with my Calculus questions. I have a question regarding related rates and is a step beyond the usual answer given. ⚑ Flag

by JDavid at July 15, 2011

I can work a related rates question ok, but have been wondering if the answer given as a rate would change if the specified distance would change. I can use a baseball diamond as an example. A baseball diamond is 90 feet square, and the pitcher's mound is at the center of the square. If a pitcher throws a baseball at 100mph (146.7 ft/sec), how fast is the distance y between the ball and first base changing as the ball crosses home plate? The home plate is approximately 63.64 feet from the pitcher's mound and if x is the distance the ball is from the pitcher's mound then dy/dt at home plate is 103.7 ft/sec. I am wondering what dy/dt will be at not only home plate but half way to home and beyond home plate, etc (assuming a continuous straight line path of the baseball; unless this is not assumed in the previously mentioned problem) . Will dy/dt be different rates as x changes and thus involve an acceleration? Thanks for any help. JDavid