Question

Major league baseball's fastest recorded pitch is 105 miles per hours. The distance between the pitcher's mound and home plate is 60 feet, 6 inches. How long did it take the ball to travel from the pitcher to the batter?

Answer 1

0.4 sec

Explanation:

Remember that

1 mile=5,280 feet

1 foot=12 inches

1 hour=3,600 seconds

Let

s -----> the speed in ft/sec

d ----> the distance in ft

t -----> the time in sec

s=d/t

Solve for t

t=d/s

step 1

Convert miles/hour to ft/sec

105 mi/h=105(5,280/3,600)=154 ft/sec

Convert 60 ft 6 in to ft

60 ft 6 in=60+(6/12)=60.5 ft

step 2

Find the time

t=d/s

we have

s=154 ft/sec

d=60.5 ft

substitute

t=60.5/154

t=0.39 sec

Round to the nearest tenth

t=0.4 sec