- #1
crystalplane
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Homework Statement
a particle is on a trajectory defined by the parametric equations x(t)= 2t^2,y(t)= t^2-4t,
z(t)= 3t-5, where t is the time.Find the components of its velocity and acceleration at time =1, in the direcion i-3j+2k.
Homework Equations
what i thought is r(t)=x(t) i +y(t) j +z(t) k, then take first derivative and get velocity vector. take the second derivative and get the acceleration vector.
However, the question provides a direction vector and i have no idea how to deal with the direction vector.
The Attempt at a Solution
r(t)'=4t i + (2t-4) j+(3) k.
r(t)''= (4) i + (2)j +(0) k