Original Date: September 25, 2015
I was watching a clip of Niel deGrasse Tyson and heard him talk about this tweet he had sent in the past.
Slowest pitch in Baseball to reach catcher? 30 mph, thrown at 45-deg angle. Any slower and at any other angle hits the ground— Neil deGrasse Tyson (@neiltyson) July 11, 2012
So, I did the math.
- Zero air resistance. Ball therefore,
- travels in ideal parabolic path,
- experiences no horizontal deceleration and thus travels at a constant horizontal speed
- Catcher catches ball at same height pitcher releases it (i.e. either catcher is standing upright or pitcher is squatting)
- Distance between pitcher and catcher is 18.4 meters (Wikipedia)
- Also these three facts from the textbook,
2) Work with what we have,
Time ball takes to reach midpoint,
Time ball takes to reach catcher,
3) Combine the two worlds,
4) Americanize the units,