physics projectiles

If you know ∆y and you need V0_y

V_y² = v_0y² + 2a_y∆_y

If you have v_0y and you need time (time to the peak)

V_y = v_0y+ a_yt

If you have v_x and ∆x or t and ∆x but you need t or v_x

∆x=v_xt

If you have a horizontal launch (v_0y=0) and you need to get the time to fall at a given height

∆y=1/2a_yt²

If you have the launch speed and angle, and you need to get the components (v_0y and v_x)

v_0y=v₀sinθ and v_x=v₀cosθ

if you have both components (v_0y and v_x), you can find the launch speed and angle?

v₀=√(v_x² + v_0y²) and tanθ=v_0y/v_x