Hesitation when push on gas

Check fuel pressure. If good, rebuild carb.

Spark plugs can cause sputtering during exceleration or can be TPS( throttle position sencer)

Tighten your fuel cap 3 times to make sure its tightned. don't push it in when you tighten it. Use Fuel injection cleaner like once a month... You may have gotten bad gas. Don't use 100 percet gas. Use gas with ethenol... you get better gas mileage. I go through 3-4 tanks a week. I use the 87 octane and I put Berrymans Fuel injection cleaner in once a week. I don't know about your hesitations though I drive a 5 speed

my car run heavy during sarting

sometimes using a fuel additive might help. K44 i think is what it is called helps clean the injectors....hope this helps

Is it a Twin Cam?? Does it Have a sharp miss at launch??

have you checked the fuel injector? if enough fuel is not getting through when accelerating it could "choke" causing the hesitation

A pop and hesitation is likely a backfire. The hesitation around 40 and 50 would be in keeping with that theory. There are several reasons you might be getting backfires and hesitation. If your ECM is adjusting the engine to run too rich this could happen. Misfiring might be occuring. Timing could be out. But one of the most likely is a restricted exhaust, likely due to a plugged, damaged or worn out catalytic converter. In some cases the converter may be bad enough to be giving you some performance problems, but not yet quite bad enough to signal an error. A vacuum test can help confirm whether this is exhaust related.

I assume the truck isn't due for a tune up if it is an '07. Sound like a mass air flow or manifold pressure sensor problem. Autozone will pull the problem code for free and the sensors aren't too expensive, but I your truck should be covered under warranty right?

Cheapest possible solution is the fuel filter. it is a black canister on the firewall with two steel fuel lines going into it. Beyond that, it could be your fuel pump ($100+) or your distributor(200+) . Check all your vacuum hoses for leaks. It will have to be driven by a mechanic to determine the true diagnosis.