The launch proyectiles of kinematics allows to find the maximum initial vertical velocity of the body so that it just reaches the ceiling
v_{oy} = 2.56 m / s
Given parameters
- The ceiling height y = 3 m
To find
Projectile launching is an application of kinematics where on the x axis there is no acceleration or and on the y axis the acceleration is the acceleration of gravity (g = 9.8 m / s ^ 2)
In this case, the maximum vertical velocity that the body can have occurs when the velocity on the ceiling is zero.
v_y² = v_{oy}² - 2 g y
where v and v_{oy} are the initial velocity at the ceiling e initial, respectively, g the acceleration of gravity e and the height
0 = v_{oy}² - 2 g y
v_{oy} = [tex]\sqrt{2gy}[/tex]
v_{oy} = [tex]\sqrt{2 \ 9.8 \ 3}[/tex]
v_{oy} = 2.56 m / s
In conclusion with the kinematic of launch projectiles we can find the maximum initial vertical velocity of the body so that it just reaches the ceiling
v_{oy} = 2.56 m / s
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