Distance traveled by the boat during acceleration

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SUMMARY

The discussion focuses on calculating the distance traveled by a boat accelerating from an initial speed of 6 m/s to a final speed of 12 m/s with a constant acceleration of 3 m/s². Using the kinematic equation \(d = v_i t + \frac{1}{2} a t^2\) and the relationship \(v_f = v_i + a t\), the time of acceleration can be determined as 2 seconds. Substituting this time into the distance formula yields a total distance of 12 meters traveled during the acceleration phase.

PREREQUISITES
  • Kinematic equations for uniformly accelerated motion
  • Understanding of initial and final velocity concepts
  • Basic algebra for solving equations
  • Knowledge of acceleration and its units
NEXT STEPS
  • Review kinematic equations in detail, focusing on distance calculations
  • Practice problems involving acceleration and distance in physics
  • Explore graphical representations of motion to visualize acceleration
  • Learn about real-world applications of kinematics in marine navigation
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of acceleration problems in real-world contexts.

RichusX
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Homework Statement


Boat is moving at a speed of 6 m/s
Boat now accelerates at 3 m/s until it reaches a speed 12 m/s

Homework Equations



What is the distance traveled by the boat during this acceleration?
 
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Think about the kinematics formulas and think about what quantities you are given.
 
RichusX said:

Homework Statement


Boat is moving at a speed of 6 m/s
Boat now accelerates at 3 m/s until it reaches a speed 12 m/s

Homework Equations



What is the distance traveled by the boat during this acceleration?
Please use the template correctly.
"Relevant equations" means any standard equations you have been taught that you believe to be relevant to the question.
You also need to show some attempt, or at least your thinking.
 

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