A speedboat travels from the dock to the first buoy, a distance of 20 meters, in 18 seconds. It began the trip at a speed of 0 meters per second. By the time it reached the buoy, it was going 10 meters per second.

What was the average velocity of the boat?

Responses

−3.33 m/s2

negative 3.33 meters per second squared

−1.11 m/s

negative 1.11 meters per second

+1.11 m/s

plus 1.11 meters per second

+3.33 m/s

plus 3.33 meters per second

1 answer

To calculate the average velocity of the speedboat, we need to use the formula for average velocity:

\[ \text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} \]

In this case, the boat travels a total distance (which is also the displacement, since it moves in a straight line) of 20 meters in a time of 18 seconds.

\[ \text{Average Velocity} = \frac{20 , \text{m}}{18 , \text{s}} \approx 1.11 , \text{m/s} \]

The average velocity is approximately +1.11 m/s (it's positive because the boat moved away from the dock in a defined positive direction).

So, the correct response is +1.11 m/s (plus 1.11 meters per second).