Question 1199443
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Every 1s, the rolling object moves 12cm, therefore it has a speed of 12cm/s, and no acceleration.  

speed = distance/time 
solving for time: 
time = distance/speed 

Divide 22.6m (2260cm) by 12cm/s to get the amount of time to travel 22.6m.

You should get a value that is a little more than 3 minutes.

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While tutor Ikleyn's solution is fine, given her explanation and interpretation of the first second (nonuniform motion), the problem does not say that the rolling object started from rest.  Thus, one can also assume (as I did)   that at the t=0 instant, the object was already rolling at 12cm/sec.   With this assumption, we get 2260/12 = 188.33 sec.   Again, it all depends on how one interprets the starting condition, and the problem as worded leaves it open to interpretation.  

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Oops, disregard my "explanation" -- I realize now that the 4cm is what is non-uniform, and yes, that piece must be ignored temporarily as the distances after that are all 12cm apart, then the initial "piece" of 4cm (+1 sec) needs to be added back in.  Duh!   Good catch Ikleyn!