On the Relativistic Motion of Projectiles: On Range and Vertical Height

Thomas Richard Giffune

Abstract


The properties of projectiles approaching the speed of light were studied mathematically and graphically, and compared to those of nonrelativistic projectiles. We found that the angle at which the range is equal to the vertical height for relativistic projectiles depends on speed, and ranges from 76o to 80.3o. This differs from nonrelativistic ones, whose angle is independent of speed and constant at 76 o. Different scenarios were considered using protons and electrons in vertical force fields to obtain our results.

Keywords


Physics; Projectiles; Special Relativity; Range; Vertical Height; Time of Flight; Relativity

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