An xy "Parametric Equations Known" Problem
Problem 1: An x slider's position is known to be x = 4t2
m, and a y slider's position is y = 2et m. A pen is located at
the intersection of the two sliders. Do the following:
(a) Eliminate t to obtain the x-y path equation of the pen.
At t = 3 sec, determine:
(b) The pen's velocity, v, as a vector.
(c) The pen's acceleration, a, as a vector.
(d) The normal ( an ) and tangential ( at )
components of acceleration of the pen.