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Medgirl314
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Homework Statement
A Civil War cannon fires a cannonball at 900 ft/s. If the cannon is aimed 5 degrees above the horizontal, find the time that the cannonball is in the air.
A Civil War cannon fires a cannonball at 900 ft/s. If the cannon is aimed 5 degrees above the horizontal, find the height that the cannonball reaches.
Homework Equations
Sin=opp/hyp
y=y0+v0t+1/2a(t^2)
The Attempt at a Solution
First I found the vertical velocity using sine.
900 sin s=78 ft/s .
Next I found the time using the vertical velocity.
v0=78 ft/s
a=-32.2 ft/s
v=0
t=(v-v0)/a
0-78/-32.2
t=-78/-32.2
t=4.8 s.
4.8 seconds should be the answer to the first problem.
Next, I used y=y0+v0t+1/2a(t^2) to find the height the cannonball reached.
y=0+78(4.8)+1/2(-32.2)(4.8)
y=374.4+1/2(154.56)
y=377.4-77.28=300.12
Height=300 ft.
Are my answers correct? Thanks in advance!