As noted in this Wikipedia article, delta-v, used in spacecraft flight dynamics, is a measure of the impulse that is needed to perform a maneuver. However, in general physics (a much longer standing branch of study, i.e., with seniority), delta-v is simply a change in velocity. Therefore, as used in the context of space flight dynamics, delta-v is not the same as the physical change in velocity of the vehicle.
For example, for a delta-v (physical) of 7.8 km/s needed to reach low Earth orbit, a delta-v (impulse) of between 9 and 10 km/s is required, the additional 1.5 to 2 km/s being due to gravity losses (the amount of energy spent fighting gravity rather than on gaining horizontal (orbital) speed) and atmospheric drag (the amount of energy spent pushing the air out of the way).
Why is the symbol "delta-v" repurposed in spacecraft flight dynamics with a significantly different meaning than the previously well established one? Wouldn't it be less confusing to use a different symbol to identify the clearly different quantity?
Is this part of why "rocket science" is generally considered to be so hard - because rocket scientists use previously standardized symbols for significantly different meanings?