If you shot the rocket at a different angle where would it land?
Purpose
The purpose of this experiment was to accurately predict the distance a rocket would travel at any given angle. In order to make predictions, we used equations we learned in class.
Materials
horizontal equations
v=∆x/∆t
xf=vt+xi
xf=vt+xi
vertical equations
a=∆v/∆t
∆x=1/2at^2+vit
vf=at+vi
a=-9.8m/s
∆x=1/2at^2+vit
vf=at+vi
a=-9.8m/s
v=∆x/∆t
v=29.9/4
v=7.475 m/s
cos(65)=7.475/x
vi=17.687 m/s
cos(45)=adj/17.687
vix=12.51 m/s
cos(55)=adj/17.687
cos(35)=adj/17.687
∆x=1/2at^2+vit
40.1=1/2(-9.8)t^2+17.687t
=-4.9t^2+17.687t-40.1
-b+/-√(b^2-4ac)/2a
-17.687+/-√(17.687^2-4(-4.9)(-40.1)/-9.8
-17.687+/-√-473.13
-17.687+/-21.75/-9.8
-39.4/-9.8
t=4.02s
Rocket landed @ 40.1 at 55 degree
Rocket landed @ 34.8m at 65 degree
Time in air for 55 degrees: 4.1s
percent error for length: 28%
percent error for time: 1%
percent error for length: 28%
percent error for time: 1%
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