In professional baseball, pitchers can throw a fastball at a speedof 83 mi/h. (a
ID: 1737195 • Letter: I
Question
In professional baseball, pitchers can throw a fastball at a speedof 83 mi/h. (a) Given that the regulation distance from the pitcher's mound tohome plate is 60.5 ft, how long does it take the ball to reach homeplate after the ball leaves the pitcher's hand?s
(b) It takes (on average) 0.21 s for the batter to get the tip of hisbat over home plate. How much time does that give him toreact?
s
(c) The average fast pitch in professional women's softball isabout 61 mi/h, where theregulation distance from the pitcher's mound to home plate is 40.0ft. How do the travel time of a pitched ball and reaction time of abatter in softball compare with those in baseball? For simplicity,assume the pitcher releases the ball just above the center of thepitcher's mound.
tsoftball,travel = s tsoftball,react = s
tsoftball,react/tbaseball,react = (a) Given that the regulation distance from the pitcher's mound tohome plate is 60.5 ft, how long does it take the ball to reach homeplate after the ball leaves the pitcher's hand?
s
(b) It takes (on average) 0.21 s for the batter to get the tip of hisbat over home plate. How much time does that give him toreact?
s
(c) The average fast pitch in professional women's softball isabout 61 mi/h, where theregulation distance from the pitcher's mound to home plate is 40.0ft. How do the travel time of a pitched ball and reaction time of abatter in softball compare with those in baseball? For simplicity,assume the pitcher releases the ball just above the center of thepitcher's mound.
tsoftball,travel = s tsoftball,react = s
tsoftball,react/tbaseball,react = tsoftball,travel = s tsoftball,react = s
Explanation / Answer
(a) In professional baseball, pitchers canthrow a fastball at a speed of 83 mi/h. (a) Given that theregulation distance from the pitcher's mound to home plate is 60.5ft, how long does it take the ball to reach home plate after theball leaves the pitcher's hand? (s) {Time To Reach Home Plate} = = {Distance To Home Plate}/{ObjectSpeed} = D/v = (60.5 ft)/(83 mi/h) = (60.5 ft)/(121.73ft/sec) = 0.497 sec (b) It takes (onaverage) 0.21 sfor the batter to get the tip of his bat over home plate. How muchtime does that give him to react?(s) {Time To React} = = {Time To Reach Home Plate} - {BatMotion Time} = (0.497 sec) - (0.21 sec) = 0.287 sec (c) The average fast pitch in professionalwomen's softball is about 61 mi/h, where the regulation distance from thepitcher's mound to home plate is 40.0 ft. How do the travel time ofa pitched ball and reaction time of a batter in softball comparewith those in baseball? For simplicity, assume the pitcher releasesthe ball just above the center of the pitcher'smound. {Time To Reach Home Plate} = = {Distance To Home Plate}/{ObjectSpeed} = D/v = (40.0 ft)/(61 mi/h) = (40.0 ft)/(89.467ft/sec) = 0.4471 sec {Time To React} = = {Time To Reach Home Plate} - {BatMotion Time} = (0.4471 sec) - (0.21 sec) = 0.2371 sec tsoftball,travel = 0.4471 sec tsoftball,react = 0.2371 sec tsoftball,react/tbaseball,react = (0.2371)/(0.287) = 0.8261 .