Question: A point starts at the location ( 4 , 0 ) and travels CCW along a circular path centered at the location ( 0 ,

A point starts at the location ( 4 , 0 ) and travels CCW along a circular path centered at the location ( 0 , 0 ) . (Draw a diagram of this!) Imagine an angle with the initial ray pointing in the 3 o'clock position with a terminal ray passing through the point. The point moves at a constant speed, and the angle sweeps out 2 radians per second. Let t represent the number of seconds since the point started moving. Write an expression (in terms of t ) to represent the number of radians the angle has swept out since the point started moving. Write a formula that expresses the x -coordinate of the point in terms of the number of seconds t since the point started moving. (Hint: what is the radius of the circular path?) x = How long does it take the point to complete one full rotation? seconds Sketch a graph relating x to t . (Represent t on the horizontal axis and x on the vertical axis.)

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