Question 132440
Stephanie runs at 5mi/hr.  {{{5*5280/3600=7.33}}} feet per second.  Since she has a 5 foot lead-off, she has to run 55 feet (60 - 5) to get to third base.
So it takes her {{{55/7.33=7.5}}} seconds to arrive at third base.


The pitch: 60 mi/hr  {{{60*5280/3600=88}}} feet/sec.  The pitch has to travel 45 feet, so the pitch takes {{{45/88=.511}}} seconds.


The line drive: 75 mi/hr {{{75*5280/3600=110}}} feet/sec.  The line drive has to travel 180 feet, so the line drive takes {{{180/110=1.636}}} seconds.


The bobble:  2.5 seconds


The throw: 45 mi/hr is 3/4 of 60 mi/hr, so 88 * 3/4 = 66 feet/sec (or you could say {{{45*5280/3600=66}}}).  The throw has to travel 170 feet, so the throw takes {{{170/66=2.576}}} seconds


The tag: 0.5 seconds.


The ball is in play for {{{0.511 + 1.636 + 2.5 + 2.576 + 0.5=7.723}}} rounds to {{{ 7.7 > 7.5}}} Safe!


Super-double-plus extra credit.  What if she had only taken a 3 foot lead-off?