Final answer:
The initial velocity (v1) of the bird is calculated using the equation v = v1 + at, with an acceleration (a) of -2.93 m/s² and time (t) of 5.10 s, yielding an initial velocity of 14.943 m/s.
Step-by-step explanation:
To determine the initial velocity (v1) of the bird, we can use one of the kinematic equations that relates velocity, acceleration, and time. Given the acceleration (a) of -2.93 m/s² and the time (t) it takes before the bird lands at rest, which is 5.10 s, we can use the following equation:
v = v1 + at
Since the bird lands at rest, its final velocity (v) is 0 m/s. By rearranging the equation to solve for the initial velocity v1 and plugging in the known values:
0 = v1 - (2.93 m/s²)(5.10 s)
Therefore:
v1 = (2.93 m/s²)(5.10 s) = 14.943 m/s
This is the initial velocity of the bird.