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STRIDE ESTIMATIONN The physics that govern the motion of a simple pendulum enable us to estimate the time that it takes for a natural stride of a person given only the length of his or her leg. This is done by modeling the leg by a long, thin rod of uniform cross section that pivots about its upper end. Using this model, a freely swinging rod supported at its upper end will take seconds to swing from one end to another, and back to its original position, where 2L 3g where Lis the length of the rod (or leg) in feet and g is the acceleration due to grav ity, which is approximately 32 ft/s2. A stride will take T/2 seconds, since a stride is a step with only one leg It is interesting to observe that the length of a stride L, is proportional to L, the length of the leg. Thus, we can express L, as a product of a constant a and I: If we know the length of a stride and the time it takes to take a stride, we can compute the walking speed, which is the number of feet per second traveled while walking: walking speed al 2L 3g VL 3g of the walking speed in feet per second is proportional to the square root the length of the leg. Thus, people with longer legs have a faster walking speed, or go farther per second. This model does not work for running, because the leg does not swing freely in a running gait. 45. Write a program that reads the length of a leg in feet and estimates the time required for a stride