i need ways to increase speed without the use of equipment for the upcoming football season

workout your legs

stretch stretch stretch stretch stretch stretch

leg squats, calf raises, 40-yard sprints

Get different parents. Faster ones.

There is an old saying that is proven true. The one thing you can't coach into players is speed. You can do all the exercises and drills you want but in the long run you'll only slightly increase your 40 times. You may drop a 4.7 time down to a 4.65 with a lot of hard work but don't expect to suddenly become a 4.4 sprinter, it won't happen.

Stretch to increase flexibility; sprinting, especially up hills will help build endurance, but as some else stated, you can't coach speed