A bug is in the center of spinning record player with a radius of 5 inches. the record spins 30 times per minute.(its a little slower than it should be. it needs to be turned.) the bug walks in a staight line along the record to the edge at a speed of 2 inches/second.
a) Using the parameter t, representing time in seconds, find the parametric equations, r(t) and theta(t), for the position of the bug
b) Eliminate the parameter from part a) to find the polar coordinate equation for the path the bug traveles as it walks.
c) Determine the distance the bug travels from the time it leaves the center until it recheas the edge.
d) Find the total distance traveled if the bugs speed is changed to 4inches/second. What effect does this have on the total distance traveled.