- #1
RESmonkey
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Homework Statement
A particle moves down with position vector <sec(Pi*t), tan(Pi*t)> for
0 =< t < 1/2.
(a). Find the velocity and speed of the particle at t = 1/4.
(b). The particle movies along a hyperbola. Elminate the parameter to find an equation of the hyperbola in terms of x and y.
(c). Sketch the path of the particle over the time interval
0 =< t < 1/2.
Homework Equations
? none?
The Attempt at a Solution
velocity vector = < Pi*sec(Pi*t)tan(Pi*t), Pi*sec^2(Pi*t)>
Plug in 1/4 into velocity vector:
<.04307, Pi>
Question is (part a), it's asking for velocity. I'm thinking writting velocity vector isn't the same thing; should I do a pythagorean theorem on the two components of my velocity vector to get a single value for velocity?
Help appreciated :P