Answer:
v = 22.58[m/s]
Explanation:
To solve this problem we will use the principle of energy conservation, which tells us that potential energy is transformed into kinetic energy or vice versa.
[tex]E_{kin}=E_{pot}[/tex]
We must remember that potential energy is defined as the product of mass by gravity by height.
[tex]E_{pot}=m*g*h[/tex]
And the kinetic energy can be calculated by means of the following expression.
[tex]E_{kin}=0.5*m*v^{2}\\[/tex]
Now equalizing the two equations we can determine the initial velocity.
[tex]m*9.81*26=0.5*m*v^{2}\\255.06=0.5*v^{2}\\v=\sqrt{255.06/0.5}\\v=22.58[m/s][/tex]
