Finding the magnitude of acceleration

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mcryder16
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Homework Statement



A toy train is pushed forward and released at x0=1.42 m with a speed of 1.86 m/s. It rolls at a steady speed for 2.04 s, then one wheel begins to stick. The train comes to a stop 5.06 m from the point at which it was released. What is the magnitude of the train’s acceleration after its wheel begins to stick?

Homework Equations



I can't figure out the equation or how to start this problem?

The Attempt at a Solution

 
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Draw a picture, and remember that when the toy is released the toy has constant velocity until its wheel gets stuck. So calculate the distance traveled in that time.

Once you have that you can subtract all the distances to get the distance traveled when under a negative acceleration due to the sticky wheel. You will have distance travelled, initial velocity, and final velocity. Then you can solve for the 'a' using a well-chosen kinematic equation.