- #1

crystalplane

- 11

- 0

## 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