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AnnZ [28]
3 years ago
9

A peregrine falcon dives at a pigeon. The falcon starts downward from rest with free-fall acceleration. If the pigeon is 56.0 m

below the initial position of the falcon, how long does the falcon take to reach the pigeon? Assume that the pigeon remains at rest.
______S
Physics
2 answers:
Mariulka [41]3 years ago
5 0

Answer:

3.4 s

Explanation

The first step is to write down everything we have then we can decide on the equation of linear motion to use

initial velocity = 0 m/s

acceleration = g = 9.81 m/s²

time (t)= ? that is what the question is asking.

So our equation of choice must have all these variables

s = ut + \frac{at^{2} }{2} \\\\56 = (0)(t) + \frac{9.81*t^{2} }{2} \\\\112 = 9.81t^{2} \\\\t = 3.4 s

goldenfox [79]3 years ago
4 0

 

The solution would be like this for this specific problem:

 

<span>v = ? </span><span>
<span>u = 0.0 m/s </span>
<span>a = 9.8 m/s^2 </span>
<span>s = 56.1 m </span></span>

<span>v^2 = (0.0 m/s)^2 + [2 * (9.8 m/s^2) * (56 m) ] </span><span>
<span>v^2 = 2 * (9.8 m/s^2) * (56 m) </span>
<span>v^2 = 1,097.6 m^2/s^2 </span>
<span>v = SQRT {1,097.6 m^2/s^2 } </span></span>

v = 33.1 m/s

<span>v = u + at </span>

<span>(v - u) / a = t </span>

[ (33.1 m/s) - (0.0 m/s) ] / (9.8 m/s^2) = 3.38 seconds

If the pigeon is 56.0 m below the initial position of the falcon, it will take 3.38 seconds for the falcon to reach the pigeon. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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