- #1
ChickenChakuro
- 32
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Hi all, if I have a problem like:
The path of a particle is described by [tex]y=4x^2[/tex], and it has a constant velocity of 5 m/s.
How do I make a parametric equation out of this?
I tried doing:
[tex]r = xi + f(x)j[/tex]
[tex]r = ti + 4t^2j[/tex],
but then [tex]v = \frac{dr}{dt} = i + 8tj[/tex], so [tex]|v|=\sqrt{1+64t^2}[/tex], and at, for example, time [tex]t = 0[/tex], [tex]|v| = \sqrt{1+0} = 1[/tex], not the constant 5 m/s! Anyone know how I can make a parametric equation that will work?
The path of a particle is described by [tex]y=4x^2[/tex], and it has a constant velocity of 5 m/s.
How do I make a parametric equation out of this?
I tried doing:
[tex]r = xi + f(x)j[/tex]
[tex]r = ti + 4t^2j[/tex],
but then [tex]v = \frac{dr}{dt} = i + 8tj[/tex], so [tex]|v|=\sqrt{1+64t^2}[/tex], and at, for example, time [tex]t = 0[/tex], [tex]|v| = \sqrt{1+0} = 1[/tex], not the constant 5 m/s! Anyone know how I can make a parametric equation that will work?
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