Question #327600

Nolan Ryan reportedly had the fastest pitch in baseball, clocked at 100.9 mi/hr (45.0 m/s) If such a pitch had been directed vertically upwards at this same speed, then to what height would it have traveled (in meters)? 


1
Expert's answer
2022-04-12T11:30:17-0400

Equations for the speed and the height of the ball are:

v=v0gt.v=v_0-gt.

h=v0tgt22.h=v_0t-\frac{gt^2}{2}.

At the highest point the speed of the ball equals to zero:

v0gt=0,t=v0g.v_0-gt=0,\newline t=\frac{v_0}{g}.

So,

h=v02gv022g=v022g=45229.81=103.2 m.h=\frac{v_0^2}{g}-\frac{v_0^2}{2g}=\frac{v_0^2}{2g}=\frac{45^2}{2\cdot 9.81}=103.2\space m.


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