2. Baseball D Bookmark this page Part B Homework due Aug 10, 202218:00 +03 Identify units 1 point possible [graded] In 1968, the height of the pitcher's mound in baseball was lowered from 15 inches to 10 inches. Perhaps as a result of this change, the average score per game went up. Some people have mentioned that the speed of the pitches goes down if the pitcher is throwing from a point 5 inches lower. Such differences would be masked by the variation in height of the pitchers and many other aspects of the delivery of the pitch, but we will calculate the increase in speed due solely to a higher release point of the pitch. The height h after t seconds of a falling object starting at t = 0 at height 3 feet is h (t) = :t: lfit2 feet [acceleration due to the force of gravity h" = 32 ft/Sz). What are the units of the constant 16 in the equation for h (it)? (Enter your answer in terms ft {feet} and 5 (seconds).) Potential energy 1 point possible [graded] Recall that the height h after t seconds of a falling object starting at t = I] at height 2': feet is h (t) = a: lfit2 (feet). Let t1 be the time it takes the object to fall 3 feet. [Note this is the same m as in the equation above.) The kinetic energy of a 1 ball of mass m dropped vertically 2*: feet is E1 = Emu? where 1.11 = h\" (t1). Find the formula for E1 in terms of m and 2:. E1: Kinetic energy computation 1 point possible (graded) If a pitcher throws a pitch at a velocity on. then the kinetic energy is E0 = %mvg. If the pitcher releases the pitch from '1: feet higher, then we will suppose that he can readjust his delivery to hit the same spot over home plate with the same initial speed. But this time, there is added energy from the drop in height 3, so the total kinetic energy is 1 Emu? = 13:13D +131. Find the formula for v in terms of '00 and 1;. Then use a linear approximation to estimate the difference I; 1.10. which is the gain in velocity due to the extra height. (Type v_0 for v3.) Av=v'vgm Changing the game 1 point possible [graded] If 11.] is 90 mph and a: is 5 inches. how many miles per hour faster is '1: than '00? [Enter answer to 2 decimal places in units of miles per hour. Take care with the units!) mph Side arm pitches 1 point possible [graded] A side-arm pitcher releases a ball (with initial velocity 90 mph] from 3 inches lower than usual. How much difference does this make in the velocity? (Enter your answer in units of mph with 2 decimal digits. Don't forget to think about the sign of the velocity!) mph