αv0xzzmaxh1h0x0δx1RWe have “reversed the trajectory so that h0(= 9.8 ft), and x0, the height and range within which Mickey can catch the ball represent the starting point of the trajectory. h1(=3.28 ft) is the height of the ball when Mickey strikes it at home plate. δis the distance behind home plate where the ball would be hypothetically launched at some angle αto achieve the total range R. x1(=328 ft) is the distance the ball actually would travel from home plate if not caught by Mickey. (Note, because of the symmetry, v0is the speed of the ball when it strikes the ground … also at the same angle αat which was launched. We will calculate the value of x0assuming a time-reversed trajectory!) (1) The range of the ball …
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