A bird that is flying straight upward at 5.80 m/s, dropsa twig when it is 13.5 m

Question

A bird that is flying straight upward at 5.80 m/s, dropsa twig when it is 13.5 m above the ground. Ignore airresistance. Find the maximum height above the ground reached by thetwig.
How long does it take for the twig to reach the ground What is the speed of the twig at this time I am unsure if the speed of the bird upward affects theacceleration of the twig downward. I do not know which kinematicequation to use or how to set it up.
A bird that is flying straight upward at 5.80 m/s, dropsa twig when it is 13.5 m above the ground. Ignore airresistance. Find the maximum height above the ground reached by thetwig.
How long does it take for the twig to reach the ground What is the speed of the twig at this time I am unsure if the speed of the bird upward affects theacceleration of the twig downward. I do not know which kinematicequation to use or how to set it up.

Explanation / Answer

max height=h a=g=9.8m/s v2 =v20+2a(h) solve for h (v2 -v20)/(2a) 02-(5.8m/s)2 /(2(9.8m/s))=h h=1.7m ----------------------------------- use   x = x0 + v0t+1/2at2 x=0m x0= 13.5m v0 = 5.80m/s a= g =9.8m/s2 solve for t to find the total time in air --------------------------------------- or x=1/2at2 x=13.5m+2(1.7m) solve for t to find the total time in air t=((2*16.9m)/9.8m/s2) T=1.86s -------------------------------- v=1/2at2 v=1/2(9.8m/ss)(1.86s)2 v=16.95m/s v=16.95m/s

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