Answer:
Velocity of the eagle = 7.08 m/s
Explanation:
We have equation of motion , [tex]s= ut+\frac{1}{2} at^2[/tex], s is the displacement, u is the initial velocity, a is the acceleration and t is the time.
Vertical motion of fish:
Initial velocity = 0 m/s , acceleration = acceleration due to gravity = [tex]9.8m/s^2[/tex], displacement = 6.1 m we need to find time.
[tex]6.1= 0*t+\frac{1}{2} *9.8*t^2\\ \\ 4.9t^2=6.1\\ \\ t=1.116 seconds[/tex]
Horizontal motion of fish:
Acceleration = acceleration due to gravity = [tex]0m/s^2[/tex], displacement = 7.9 m , time = 1.116 seconds we need to find Initial velocity (u).
[tex]7.9= u*1.116+\frac{1}{2} *0*1.116^2\\ \\ u=7.08m/s[/tex]
So, velocity of the eagle = 7.08 m/s
