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.

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Question

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.


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mathmate · Answer

Poor pigeon, she doesn't know what's ahead.

$$S\ =\ \frac{1}{2} g t^2$$

S= vertical distance
g=acceleration due to gravity = 9.81 m/s^2
t=time in seconds.

Solve for t.

anonymous · Answer

can u use draw and plug in the equation for me

anonymous · Answer

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mathmate · Answer

|dw:1346699296648:dw|
S=56m
t=time (to be determined)
g=9.81 m/s^2
56=(1/2)9.81 t^2
t^2=2*56/9.81
can you find t (time)?

mathmate · Answer

@btwosick is everything ok?