Curvilinear Translation (Projectile Motion)
Projectile motion follows a parabolic trajectory. The vertical component of projectile is under constant gravitational acceleration and the horizontal component is at constant velocity. For easy handling, resolve the motion into x and y components and use the formulas in rectilinear translation.
At any point B
For the x-component of motion, acceleration is zero (constant velocity), thus ax = 0.
For the y-component of motion, ay = -g. Notice that the first three formulas that follow are taken from motion with constant acceleration.
At point A
At the highest point or summit, vAy = 0.
At point C
x = R, y = 0, vC = vo, and vy = -voy
vy is positive if directed upward and negative if directed downward
At any point D below the origin O, the sign of y is negative.