SOLUTION: Nolan Ryan has been clocked throwing a fastball 100 miles per hour. At that speed, how much time does the batter have to react? The pitcher’s mound is 60 feet 6 inches from home

Algebra ->  Conversion and Units of Measurement -> SOLUTION: Nolan Ryan has been clocked throwing a fastball 100 miles per hour. At that speed, how much time does the batter have to react? The pitcher’s mound is 60 feet 6 inches from home       Log On


   

Question 1128306: Nolan Ryan has been clocked throwing a fastball 100 miles per hour. At
that speed, how much time does the batter have to react? The pitcher’s
mound is 60 feet 6 inches from home plate.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
To find how long it takes for the ball to reach the point above home plate
you would divide distant by speed,
which is the same as multiplying distance times the reciprocal of speed:
speed=distance%2Ftime <--> time=distance%2Fspeed <--> time=distance%281%2Fspeed%29

We just have to deal with unit conversions.
One mile is 5280 feet,
so 1mile%2F%225280+feet%22 and 5280+feet%2F%221+mile%22
are our "reduction-of-unit-multipliers" for distance.
One hour is 60 minutes and 3600 seconds,
so 1+hour%2F%223600+seconds%22 and 3600+seconds%2F%221+hour%22
are our "reduction-of-unit-multipliers" for time.
Beyond that, I hope we do not need to 80/
60 feet 6 inches = 60.5 feet.

The speed of the ball in feet per second is
%28100miles%2F%221+hour%22%29%281+hour%2F%223600+seconds%22%29%285280+feet%2F%221+mile%22%29%22=%225280feet%2F%2236+seconds%22%22=%22%22about+146.7+feet+%2F+second%22

The time for the ball to reach just above home plate is
60.5feet%2836seconds%2F%225280+feet%22%29=0.4125seconds

Maybe that is the expected answer.
It seems to be a very short time to decide how to move and get the bat to the right position to meet the ball.