Vector-valued function application to projectile motion

Abstract

This research work study the motion of a projectile without air resistance using vector-valued function. In this work, we combined the factors that affect the path of a trajectory to determine how a pilot can jump off from an aircraft into a river which is located at a known distance without falling on the ground in case there is a failure in the parachute. Based on our study of the problem statement, we established a theorem which states that at every maximum point (time) of a projectile (ignoring air resistance), the tangential component of acceleration is equal to zero and the normal component of acceleration is equal to gravity.