Question

A point starts at the location (−4,0) and moves CCW along a circle centered at (0,0) at a constant angular speed of 2 radians per second. Let t represent the number of seconds since the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context!

Suppose the point has traveled for 0.25 seconds (t=0.25). How many radians would need to be swept out from the 3-o'clock position [or from (4,0)] to get to the point's current position?

3.641593 radians

Write an expression in terms of t to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position.

Pi+(t×2)


Write a function g that determine's the point's x-coordinate in terms t.

Answer 1

g(t) = -4cos(Pi+(t×2))