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apoptosis
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Here's another variable problem
An extreme sportsman jumps from one cliff to another of width (w) by leaping horizontally by vo. With a height difference of h (where the starting cliff is higher) what is vo so he doesn't miss the cliff? (also, what is the direction of motion)
xo=0
x=w, y=0
vox=0
ax=0
voy=0
ay=-g
yo=h
Determine time of landing:
0=y=h-(1/2)gt[tex]^{2}[/tex]
t=[tex]\sqrt{2h/g}[/tex]
Determine vo:
x=vot
vo=xo/t=x[tex]\sqrt{g/2h}[/tex]
vo=w[tex]\sqrt{9.81/2h}[/tex]
does this look correct so far?
I'm stuck at finding the direction of motion, i know the equation is:
[tex]\vartheta[/tex]=tan[tex]^{-1}[/tex]vy/vx
vy=-gt=[tex]\sqrt{2hg}[/tex]
=tan[tex]^{-1}[/tex][tex]\sqrt{2hg}[/tex]/(w[tex]\sqrt{g/2h}[/tex])
=tan[tex]^{-1}[/tex] (2h/w) degrees of the horizontal component
but, I'm not sure if this is exactly right...
Homework Statement
An extreme sportsman jumps from one cliff to another of width (w) by leaping horizontally by vo. With a height difference of h (where the starting cliff is higher) what is vo so he doesn't miss the cliff? (also, what is the direction of motion)
Homework Equations
xo=0
x=w, y=0
vox=0
ax=0
voy=0
ay=-g
yo=h
The Attempt at a Solution
Determine time of landing:
0=y=h-(1/2)gt[tex]^{2}[/tex]
t=[tex]\sqrt{2h/g}[/tex]
Determine vo:
x=vot
vo=xo/t=x[tex]\sqrt{g/2h}[/tex]
vo=w[tex]\sqrt{9.81/2h}[/tex]
does this look correct so far?
I'm stuck at finding the direction of motion, i know the equation is:
[tex]\vartheta[/tex]=tan[tex]^{-1}[/tex]vy/vx
vy=-gt=[tex]\sqrt{2hg}[/tex]
=tan[tex]^{-1}[/tex][tex]\sqrt{2hg}[/tex]/(w[tex]\sqrt{g/2h}[/tex])
=tan[tex]^{-1}[/tex] (2h/w) degrees of the horizontal component
but, I'm not sure if this is exactly right...