Question

A fox 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.)

Answer 1

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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