What equations would you use for parabolic motion equations such as for horizontal motion, and for vertical motion?
All of the equations used in projectile motion are based on the three basic kinematic equations
v = u + at
v^2 = u^2 + 2ax
x = ut + (1/2)at^2
in these equations v represents final velocity, u represents initial velocity, a represents acceleration , x represents displacement and t represents time.
So if we apply these equations to the vertical motion we get
Initial vertical velocity = V sin theta
v(y) = v sin theta - gt where v(t) is the vertical velocity at time t and v is the velocity
of projection. In this case the acceleration is that due
to gravity and is considered negative.
V^2 =( V sin theta)^2 - 2gy
y = ( V sin theta)t - (1/2)gt^2 where y is vertical displacement
Since gravity does not act horizontally we have for the horizontal motion
Initial Horizontal velocity = V cos theta
V(x)= V cos theta ( the horizontal velocity never changes )
x = ( V cos theta)t