The velocity of the eagle is 7.0 m/s
Explanation:
The motion of the fish is a projectile motion, which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction, where the horizontal velocity of the fish is equal to the horizontal velocity of the eagle
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
We start by analyzing the vertical motion, using the following suvat equation:
where:
s = 6.1 m is the vertical displacement of the fish
u = 0 is the initial vertical velocity of the fish
is the acceleration of gravity
t is the time
Solving for t, we find the time of flight of the fish:
Now we know that during this time, the fish travels a horizontal distance of
x = 7.9 m
Therefore, the horizontal velocity of the fish is
And therefore, this is the initial velocity of the eagle.
Learn more about projectile motion:
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