Afox sees a piece of carrion being thrown from a hawk's nest and rushes to snatch it. the nest is 14.0 m high, and the carrion is thrown with a horizontal velocity of 1.5 m/s. the fox is 7.0 m from the base of the tree. what is the magnitude of the fox's average velocity if it grabs the carrion in its mouth just as it touches the ground?
(assume no air resistance and that ay = g = 9.81 m/s2.)

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x = distance from tree to fox = 8.0 m 
x1 = distance from tree to where carrion falls 
x2 = distance from where carrion falls to fox 
x1 + x2 = x 
vix = 1.3 m/s 

y = viy(t) + (1/2)(a)(t^2) --> 
14 = 0 + (1/2)(-9.81)(t^2) --> 
t^2 = 14 / 4.905 = 2.854 
t = 1.689 

x1 = vix1(t) + (1/2)(a)(t^2) --> 
x1 = 1.3(1.689) + 0 = 2.1957 

x2 = 8 - 2.1957 = 5.8043 
v2avg = x2/t = 5.8043 m / 1.689 s = 3.437 m/s

The radiation of the fire causes the saucepan to heat up. the conduction of the saucepan then to distribute the heat over the saucepan and to give heat to the water. the convection of the water distributing the heat within the water, till all the water is boiling