Answer:
y = 3.26 [m]
Explanation:
In order to solve this problem, we must use the following equation of kinematics.
[tex]v_{f}^{2}= v_{o}^{2}-2*g*y[/tex]
where:
Vf = final velocity = 0
Vo = initial velocity = 8 [m/s]
g = gravity acceleration = 9.81 [m/s²]
y = elevation [m]
Note: The negative sign in the equation above represents that the movement is againts the direction of the gravity acceleration.
Now replacing:
[tex]0=8^{2} -2*9.81*y\\19.62*y=64\\y=3.26 [m][/tex]
