In major league baseball, what is the elapsed time for a 100 mph pitch to reach the batter? (Please show calc?

Answer 1

Hmmm, show calculations?

60 feet to home plate 100 MPH.
5280 feet in 1 mile.

If a ball were going 100 mile per hour then it would be going 1.667 mile per minute (100/60) and eventually .0277 miles per second.(1.667/60 seconds) .0277 is of 146.667 feet per second.(5280 feet in a mile/.0277) If a ball goes 146.667 FPS and it only has to travel 60 feet then divide 60 by 146.667 and you get .409.

Of course if you wanna get complicated, you can also subtract the 3-4 feet out in front of the pitching rubber that the pitcher actually releases the ball and you answer would be more like .38 or so. 56 feet divided by 146.667.

Answer 2

Can you tell us what factors we need to mention, or are we simply talking d = vt
t = d/v
d = 60.5 ft
v = 100 mph
(60.5 ft) / (100 mph) = 0.4125 seconds

The ball starts off at 100 mph, but doesn't end at 100 mph, due to drag, so speed becomes a function of time. Depending on how many factors go into the equations, the time will be slightly longer than that, but to measure it, we need to set up a differential equation, and solve for that, so the answer will show some exponential decay.

Let me know if I have to get that far into it.

Answer 3

set up a ratio:

100 miles is to 60 feet, 6 inches as 60 minutes is to the time to reach the batter.

Be sure you tell your teacher you got the answer from the internet.

Answer 4

0.40899 seconds.