Asailboat is traveling to the right when a gust of wind causes the boat to accelerate leftward at 2.5m/s2 for 4s. after the wind stops, the sailboat is traveling to the left with a velocity of 3.0m/s. assuming the acceleration from the wind is constant, what was the initial velocity of the sailboat before the gust of wind? answer using a coordinate system where rightward is positive.

Explanation :

Let rightward direction is considered as positive and leftward direction is considered as negative.

Given that,

Acceleration of the boat, ( in left )

Time taken,

Final velocity of the boat,

We have to find initial velocity (u) of the sailboat.

Using first equation of motion :

So, initially the boat is moving with a speed of 13 m/s in leftwards direction.

Hence, this is the required solution.

the answer is to check all of them! they all apply well at least i think so!

0.11 m/s and 0.28 m/s should be correct