Answer:
Option D
20.4 m
Explanation:
Applying the law of conservation of energy
initial kinetic energy = final potential energy
[tex]0.5mv^{2}=mgh[/tex] where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.
Making height the subject then
[tex]h=\frac {v^{2}}{2g}[/tex]
Substituting the given value of v as 20 m/s and using acceleration of 9.81 then
[tex]h=\frac {20^{2}}{2\times 9.81}=20.38735984\approx 20.4 m[/tex]