87WSP5.0

When I go to start my mustang cold it will start but when the engine is turning over the starter sounds slightly weak. When I drive around for awhile and turn it off then try to restart the starter just clicks,i end up waiting about 30 minutes then the starter sounds very weak but it will start. Also when I tried to restart it right after I shut it down and click it a few times the small black wire coming off the battery gets very hot. I replaced the alternator and battery about 2 months ago. The alternator is charging but i'm not sure if the battery is holding the charge.

aode08

take the black negative cable , cut it and relocate it to the AC bracket top bolt.