Answer :

Answer:3.96 m/s

Explanation:

Given

Rock is thrown to a height of 0.8 m

We know that energy is conserved

Total Energy=kinetic Energy+Potential Energy

At bottom Kinetic Energy is maximum and Potential energy is minimum while at the top potential Energy is maximum and kinetic energy is minimum

Energy at Bottom [tex]E_b=\frac{1}{2}mv^2+0[/tex]

Energy at Top [tex]E_t=0+mgh[/tex]

Thus

[tex]E_t=E_b[/tex]

[tex]mgh=\frac{1}{2}mv^2[/tex]

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{2\times 9.8\times 0.8}[/tex]

[tex]v=\sqrt{15.68}[/tex]

[tex]v=3.96\ m/s[/tex]