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ajajjsisi9x8
ajajjsisi9x8
10.02.2021 • 
Mathematics

A point starts at the location (2.5,0) 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 tt 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

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