(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A boat starts a race at 3 m/s, accelerates uniformly for 10 seconds, then travels with constant velocity for 6 seconds. It then slows uniformly to rest in another 6 seconds. If the boat has traveled a total distance of 225m, find the maximum velocity.

2. Relevant equations

a(t) = v`(t) = s``(t)

3. The attempt at a solution

Obviously the boat has three phases of motion:

- the initial acceleration

- the constant velocity

- and the negative acceleration until it comes to rest

And I need to find the constant velocity. However I am honestly stuck I do not even know how to approach this question! Please help!

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# Homework Help: Maximum velocity of a boat

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