Which radar set computes and records the speed of aircraft making a landing approach to a carrier?

The radar set that computes and records the speed of aircraft making a landing approach to a carrier is the AN/SPN-44. This radar system is specifically designed for the purpose of providing precise landing assistance to aircraft, facilitating their approach to carrier decks. The AN/SPN-44 features advanced tracking capabilities that allow it to monitor the aircraft's speed and position throughout the landing phase, ensuring safe and effective landings.

In contrast, radar systems like the AN/SPN-43 focus primarily on approach control and do not specifically provide the same level of detailed speed recording for landing aircraft. The AN/FPN-63(V) and AN/SPA-25G serve different functions and do not specialize in landing assistance, further distinguishing the AN/SPN-44 as the correct choice for this specific application.