According to problem 4, only need answer problem 5. Homework Problem 4 By regula

Question

According to problem 4, only need answer problem 5.

Homework Problem 4 By regulation, a baseball "diamond" is actually a square During training-camp, Willy Mays Hayes ran the 40 meter dash is actually a square exactly 90 feet on each side. spot on the Major League roster of the Cleveland Indians. e 40 meter dash in 3.2675 s, which earned him a line drive to Third Base. Assuming the and During one at-bat, Hayes swings at a fast-ball hitting a line drive to ball leaves the bat at 90 mph, how and many seconds does the Third Base Player have to react field the ball?

Explanation / Answer

distance betwen 1st and 3rd base = a*sqrt(2) = 90*sqrt(2) = 127.3 ft

speed of ball after heating= 90 miles/hr = 475200 ft/3600 s =132 ft /s

reaction time = time taken to travel 127.3 ft = 127.3/132 = 0.96 s

spped of willy mays = distance /time= 40 m /3.2675 s= 131.234 ft/ 3.2675 s = 40.16 ft/s
distance she needsto rum=a = 90 ft
timr she takes to complete run =90 / 40.16 = 2.24 s

Toget him out ball must react 2nd base before this time

let speed of ball being thrown be v ft/s

time taken by ball to reach 2nd base = 127.3/v = 127.3/v ft/s
to run him out:
0.96 + 0.5 + 127.3/v <2.24
127.3/v < 0.78
v>163 ft/s
v = 163 ft/s = 0.0308712 *3600 mph= 111.14 mph

Answer: spped of throw should be greater than 111.14 mph

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