To accomplish the first two of our stated goals we need first to find a general mathematical relationship showing how the horizontal range of the projectile depends on the height, initial velocity, and the angle of launch. See Fig. 1.. You need to solve symbolically the appropriate kinematics equations for motion with constant acceleration in the horizontal and vertical directions simultaneously to do this. [Hint: Eliminate the time from the general horizontal and vertical position equations at the instant when the projectile strikes the floor! You can do this by solving one equation for time and substituting that expression in the other equation