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

Coincidentally, I had just done the chapter on projectiles from a very awesome textbook I had recently come across.

So, I did the math.

**1) Assumptions**

- 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,**

Vertical

Time ball takes to reach midpoint,

Horizontal

Time ball takes to reach catcher,

**3) Combine the two worlds,**

**4) Americanize the units,**