Construct a model for the vertical displacement of an overhand curve ball. Solve the model either analytically or numerically. and include a graph of the solution. Throwing a curve ball is a lot like twisting a doorknob or snapping your ngers. A sharp twist of the wrist puts a fast. forward spin on the ball. The stitches on the baseball drag a thin layer of air around the ball. This 'top-spin' causes air to ow faster along the bottom of the ball than along the top. The faster owing bottom air is stretched thin causing greater air pressure at the top of the ball and forcing the ball down. The force associated with the pressure differential is called the Magnus Force. For the purposes of your model. you may assume only two forces acting on the ball, gravity and the force associated with the pressure differential described above. This may be done in general terms. or if you want some specic numbers; assume the ball is released at a heig'it of ve feet and 50 ft from home plate. thrown at at 3 angle of elevation at a speed of 120 feet per second. spinning at 40 revolutions per second. The baseball has a diameter of 3 inches and weighs 5 ounces. There are many nice resources on the web, I found one helpful source. 3 iff. rit. edu-"'richrnond-" b aseball.-"tra '.-"Ira ' .htrnl Since you are wanting to model the vertical displacement only. you can safely ignore wind resistance and for the graph. you can assume the horizontal displacement is based on a constant horizontal velocity (the time in air is less than half a second. so the effect of drag is minimal)