At what speed will stern of ship pass pier?

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J.Alonso
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Homework Statement



The longest passanger liner ever built was the Fracnce, at 66,348 tons and 315.5m long.
Suppose its bow passes the edge of a pier at a speed of 2.5m/s while the ship is accelerating uniformly at 0.01m/s^2. At what speed will the stern of the ship pass the pier?


Homework Equations



um... i think, a= (v-u) / (T-t)


The Attempt at a Solution



0.01 = (v-2.5) / ((315.5/v)-0)
v= 3.42 m/s
 
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Discussion

The final time won't be 315.5/v since x=vt is only true when there is no acceleration. Since it is accelerating you will have to look through your list of formulas that include acceleration.

Since you know [tex]x-x_0[/tex], [tex]v_0[/tex], and [tex]a[/tex]. There is one particular formula that is very useful.