Aball thrown by a pitcher on a women’s softball team is timed at 56.9 mph. the distance from the pitching rubber to home plate is 47.9 ft. in major league baseball the corresponding distance is 60.5 ft. if the batter in the softball game and the batter in the baseball game are to have equal times to react to the pitch, with what speed must the baseball be thrown? assume the ball travels with a constant velocity. [hint: there is no need to convert units; set up a ratio.]

Explanation:

Given

Velocity of soft ball is 56.9 mph

Distance between Pitching rubber to home plate is 47.9 ft

In major league distance is 60.5 ft

Let velocity of baseball is

Let t be the time for ball to reach to batter and its reaction time

since t is same for both case

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day