Average Acceleration of a Motorboat

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SUMMARY

The average acceleration of a motorboat traveling in a straight line, which changes its velocity from +4.0 m/s to +7.0 m/s over a period of 5.0 seconds, is calculated to be 0.60 m/s². This is derived from the formula for average acceleration, which is the change in velocity divided by the change in time. The positive sign in the velocity indicates the direction of motion, confirming that the boat is moving forward in a straight line.

PREREQUISITES
  • Understanding of basic kinematics concepts
  • Familiarity with the formula for average acceleration
  • Knowledge of units of measurement in physics
  • Ability to interpret positive and negative signs in velocity
NEXT STEPS
  • Study the concept of instantaneous acceleration and its calculation
  • Learn about the relationship between velocity, acceleration, and time in physics
  • Explore the effects of direction on motion in one-dimensional kinematics
  • Investigate real-world applications of acceleration in marine vehicles
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Students studying physics, particularly those focusing on kinematics, as well as educators seeking to clarify concepts of acceleration and velocity in motion.

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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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