Constant Acceleration; Dynamics

[allyfranken]

Homework Statement

Problem: Calculate the constant acceleration a in g’s which the catapult of an aircraft carrier must provide to produce a launch velocity of 188 mi/hr in a distance of 299 ft. Assume that the carrier is at anchor.

Homework Equations

V^2 = 2AD

The Attempt at a Solution

Okay so I got an answer of 14232.9518 G's. This seems far too large.
I converted feet to miles first and got 35344 mi^2/hr^2 = 2A(.0566) solving for A I got A = 312,226.1484 mi/hr^2 then converted to G's. What am I doing wrong here?

 

[jack action]

The problem lies in your conversion from mi/h² to ft/s². They are 3600 seconds in an hour and you have to square it.