Posted by Hannah on Sunday, May 27, 2012 at 6:45pm.
You are absolutely on the wrong track.
Compass:
vi=2.45m/s
hi=3.22
hf=0
hf=Hi+vi*t-4.9t^2 solve for t. Notice it is a quadratic.
When compass begins to move its velocity is directed upwards and it moves until the velocity becomes zero.
hₒ =vₒ•t1-g•t1²/2
v=vₒ -gt1.
0 = vₒ -g•t1
t1= vₒ/g =2.45/9.8 =0.25 s.
hₒ =vₒ²/2•g =2.45²/2•9.8 =0.306 m
H =hₒ + h = 0.306+3.22 =3.526 m.
Downward motion
H =g•t2²/2
t2=sqrt(2•H/g) = sqrt (2•3.526/9.8) =0.85s.
t =0.25 +0.85 = 1.1 s.
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