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A bird flies at -2.93 m/s². It takes 5.10 s

before the bird lands at rest.
What was the initial velocity
of the bird?
v₁ = [?] m/s.

1 Answer

5 votes

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.

User Nik Markin
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