You’re thinking of the wrong thing. F=MA is about the force currently applied to an object, not how much it is “generating”. As such, a speeding car where the gas and brake are not being used will have little force applied to it.
What you are thinking of is the amount of kinetic energy it has, which is related to how much force needs to be applied to stop it. This is (1/2 * mass * velocity ^ 2) and does increase with speed.
[https://www2.chem.wisc.edu/deptfiles/genchem/netorial/modules/thermodynamics/energy/energy2.htm](https://www2.chem.wisc.edu/deptfiles/genchem/netorial/modules/thermodynamics/energy/energy2.htm)
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