Then we need to convert some SAM , air to surface missiles as they are easy to be controlled at high speed.
At least supersonic anti-radiation or antiship missiles.
The missiles like TRG-300 are quasi ballistic missiles. Their main job is to carry a heavy destructive explosive to the target area.
When they are launched, with their rocket motors, they reach very high supersonic speeds. By this time they will have reached a rarified level of atmosphere where there is hardly any air drag. They then start to slow down when their fuel is exhausted. Then they start to freefall towards their target under a ballistic trajectory. This is when their speed goes up again. Then they hit denser air layers and start losing speed. (Their speed is governed by the
terminal velocity formula.) the heavier and more aerodynamic they are the faster they hit earth. Whereas a 600kg trg300 may have a terminal speed of say 1.2mach a 105 ton ICBM may have a terminal speed of 10 Mach.
An a2a missile and an air defence SAM are very different. Their main job is to disable, by hit-to-kill or by exploding nearby, another missile or plane.
Air to air missiles, with the exception of ramjet powered ones do not have power during their terminal phase. An amraam flying at 4 Mach may only have 2.5 Mach when it reaches it’s target; especially if it has done one too many manoeuvres. (more manoeuvres they perform at terminal stage the more they lose speed)
(This is where ramjet engined meteor a2a missile excels, as it has power available at terminal phase. It can throttle down and up to economise the fuel it burns.)
A SAM air defence missile too is very similar in its operation. Depending on the engagement range it may have no power at terminal interception phase.
A dual pulse hisar-rf hitting a target 40 km away, with the first half of its fuel will reach a 3-3.5 Mach speed. Then coast towards the target whilst losing speed. As it engages the target the second part of the fuel is burnt to give more speed to catch the target and compensate for any loss of speed due to manoeuvres. But even with the second pulse, the Hisar-rf may not have power at the point of impact.