 #1
 306
 13
Homework Statement
Parametric equations and a parameter interval for the motion of a particle in the xyplane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.
(1)##x = 4t^2##
(2) ##y = 2t## , ##  \infty ≤ t ≤ \infty##
Homework Equations

The Attempt at a Solution
Square the second equation :
##y^2 = 4 t^2 ## (3)
Subtract (3)  (1):
##y^2  x = 0 ##
##y^2 = x##
This equation forms a parabola .
When ##t =  1 ## , ##x=4## and ##y=2##
When ## t = 1 ## , ##x = 4## and ##y=2 ##
From bottom to top.
Is my answer correct ?
Attachments

36.3 KB Views: 1,112
Last edited by a moderator: