Average Acceleration of a Motorboat

AI Thread Summary
The average acceleration of the motorboat is calculated by taking the change in velocity, which is 3.0 m/s, and dividing it by the time interval of 5.0 seconds, resulting in an average acceleration of 0.60 m/s². The unit of acceleration is m/s² because it represents the change in velocity per unit time. The plus sign in the velocities indicates the direction of motion, confirming that the boat is moving in a straight line. Understanding these concepts clarifies the relationship between velocity, time, and acceleration. This discussion highlights the fundamental principles of calculating average acceleration in physics.
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Homework Statement


A motorboat traveling in a straight line has a velocity of +4.0 m/s at some point in time. After 5.0 seconds, its velocity is +7.0 m/s. What is its average acceleration during this time?

Homework Equations



avg accel.=change in velocity/change in time

The Attempt at a Solution



7.0 m/s-4.0 m/s=3.0 m/s

\frac{3 m/s}{5s}

0.60 m/s^2.

I don't understand why is it m/s^2 versus m/s. What does the plus sign indicate in the question in front of 7.0 and 3.0?
 
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Well, ##\frac{m}{s^{2}}## is just the unit of acceleration. When you have ##\frac{m}{s}##, then divide that by a time, then the denominator becomes ##s^{2}##. And the plus sign is just used to indicate the direction of the velocity, and to indicate that the boat travels in a straight line.
 
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