A robot travels on a flat surface with constant velocity components feet per second…

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A robot travels on a flat surface with constant velocity components

\dfrac{dx}{dt}=5

feet per second and

\dfrac{dy}{dt}=-3

feet per second. At

t=0

seconds the robot is at

(2,7)

. (a) Write parametric equations

x(t)

and

y(t)

describing the robot’s position at any time

t\ge 0

. (b) Determine the robot’s exact coordinates after

4

seconds of travel.