A point starts at the location (-6,0) 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!

 

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a. 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 (6, 0)] to get to the point's current position? radians Preview b. 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. Preview e. Write a function g that determine's the point's r-coordinate in tems t. g(t) = Preview d. Sketch a graph of g. 6+ 24 -24 6+ a. 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 (6, 0)] to get to the point's current position? radians Preview b. 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. Preview e. Write a function g that determine's the point's r-coordinate in tems t. g(t) = Preview d. Sketch a graph of g. 6+ 24 -24 6+