- #1
Pharrahnox
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I was watching a YouTube video on projectile motion:
It says that the range is given by the formula:
d = v*cosθ*t
It also says that the time to reach the maximum height is given by the formula:
t = [itex]\frac{v*sinθ}{a}[/itex] where v*sinθ is the initial vertical velocity
Well, not necessarily, but I derived that from:
v = u+at
So you multiply that by 2 to get the total time which gives you:
t = [itex]\frac{2*v*sinθ}{a}[/itex]
Put that into the original formula and you get:
d = 2*v*cosθ*([itex]\frac{v*sinθ}{9.81}[/itex])
d = [itex]\frac{2*sinθ*cosθ*v2}{9.81}[/itex] -- meant to be 2*sinθ*cosθ*v2/9.81
My aim was to plot the range of the projectile at a given angle. However, when I plot this graph using Graphmatica, it is just an oscilating graph, resembling the sine or cosine functions...
Where have I gone wrong? Either a simple mistake, or this was never going to work in the first place.
Thanks for any help.
It says that the range is given by the formula:
d = v*cosθ*t
It also says that the time to reach the maximum height is given by the formula:
t = [itex]\frac{v*sinθ}{a}[/itex] where v*sinθ is the initial vertical velocity
Well, not necessarily, but I derived that from:
v = u+at
So you multiply that by 2 to get the total time which gives you:
t = [itex]\frac{2*v*sinθ}{a}[/itex]
Put that into the original formula and you get:
d = 2*v*cosθ*([itex]\frac{v*sinθ}{9.81}[/itex])
d = [itex]\frac{2*sinθ*cosθ*v2}{9.81}[/itex] -- meant to be 2*sinθ*cosθ*v2/9.81
My aim was to plot the range of the projectile at a given angle. However, when I plot this graph using Graphmatica, it is just an oscilating graph, resembling the sine or cosine functions...
Where have I gone wrong? Either a simple mistake, or this was never going to work in the first place.
Thanks for any help.
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