At what speed will stern of ship pass pier?

[J.Alonso]

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

 

[nickjer]

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 $$x-x_0$$, $$v_0$$, and $$a$$. There is one particular formula that is very useful.