A loading car is at rest on a track forming an angle of $25\backslash$deg with the vertical when a force is applied to the cable attached at C$.$ The gross weight of the car and its load is $5,485$ lb WG

$,$ and it acts at point G$.$ The tension in the cable connected at C is $5,000$ lb TC

$.$ Neglect friction between the car and the track.

An illustration of a loading car on an inclined platform.An illustration. A loading car is on a track, both directed northwest. It is inclined at angle $25$ degrees with the vertical. A cable directed northwest parallel to the track is attached at the front end point C of the car. The cable is near the bottom of the car. Point G on the car is offset to the right of center. The vertical distance between the track and the cable is $24$ inches. The vertical distance between the track and point G is $30$ inches. Point G is at $25$ inches each, from the center of the two axles on either side.

Determine the acceleration of the car. $($Round the final answer to three decimal places.$)$

The acceleration of the car is

ft$/$s$2$

$.$