Baseball runner asking for velocity to an out

[Robertoalva]

Homework Statement

A fast base-runner can get from first to second base in 3.45 s. If he leaves first base as the pitcher throws a 90 mi/h fastball the 69-ft distance to the catcher, and if the catcher takes 0.45 s to catch and rethrow the ball, how fast does the catcher have to throw the ball to second base to make an out? Home plate to second base is the diagonal of a square 90 ft on a side.

Homework Equations

v= vi + at

The Attempt at a Solution

Subtracted the .45s to the 3.45s so i can be left with just 3s

 

[vela]

So what has to happen in those 3 seconds?

 

[Robertoalva]

The pitcher has to throw the ball in a certain velocity