Answer:
x = v₀ cos θ t, y = v₀ sin θ t - ½ g t² , y = ½ v² / g
Explanation:
The formulas for launching projectiles is
as in the x axis there is no acceleration
x = v₀ₓ t
x = v₀ cos θ t
on the axis and the acceleration is the acceleration of gravity
y = [tex]v_{oy}[/tex] t - ½ g t²
y = v₀ sin θ t - ½ g t²
the formulas for the position with energy metomentodos, we must see that since there is no friction the mechanical energy is conserved, we write the energy for two points
initial. Highest point
[tex]Em_{o}[/tex] = U = m g y
final . Lowest point
Em_{f} = K = ½ m v²
Em_{o} = Em_{f}
mg y = ½ m v²
y = ½ v² / g