Confused About Directional Motion: Help Needed!

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SUMMARY

The discussion focuses on calculating the final velocity of a watercraft with an initial velocity of 6.4 m/s [East] and an average acceleration of 2.0 m/s² [South] over a duration of 2.5 seconds. The final velocity can be determined using vector notation in two dimensions, specifically utilizing the components of the initial velocity and acceleration. The final velocity is calculated as 6.4i - 5.0j m/s, resulting in a magnitude of approximately 8.0 m/s at an angle south of east.

PREREQUISITES
  • Understanding of vector notation in two dimensions
  • Basic knowledge of kinematics and motion equations
  • Familiarity with calculating vector components
  • Ability to perform trigonometric calculations for vector magnitudes and angles
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  • Study vector addition and subtraction in physics
  • Learn about kinematic equations for two-dimensional motion
  • Explore the concept of vector components and their applications
  • Practice problems involving acceleration and velocity in different directions
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Students studying physics, particularly those learning about motion in two dimensions, as well as educators seeking to clarify concepts related to vector notation and kinematics.

F.B
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I have no idea how to do these questions. My teacher did not explain anything.

Anyways my question is:

A watercraft with an initial velocity of 6.4 m/s [East] undergoes an average acceleration of 2.0 m/s^2 [South] for 2.5 s. What is the final velocity of the watercraft?

This are going in different directions. How do i do these types of questions? Please help me.
 
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use vector notation in 2D ie i and j.
 

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