Solve Vector Trajectory Homework: Find Velocity, Draw Diagram

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SUMMARY

The discussion focuses on solving a vector trajectory homework problem involving an object traveling at an initial velocity of 5.5 m/s in the direction N59.5E, experiencing two accelerations of 4.4 m/s². The first acceleration occurs for 1.5 seconds in the direction S76.6E, followed by a period of constant velocity for 2.6 seconds, and a second acceleration in the direction N59.5E for 2.1 seconds. The key equations utilized include the displacement formula d = v1t + 1/2at² and the Sine Law for determining resultant velocities and directions.

PREREQUISITES
  • Understanding of vector components and vector addition
  • Familiarity with kinematic equations, specifically d = v1t + 1/2at²
  • Knowledge of the Sine Law for calculating angles in triangles
  • Basic proficiency in drawing vector diagrams
NEXT STEPS
  • Learn how to apply vector addition to find resultant velocities
  • Study kinematic equations in vector form for more complex motion analysis
  • Explore graphical methods for drawing vector diagrams accurately
  • Investigate the impact of acceleration on velocity over time in different directions
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in solving vector-related problems in kinematics, particularly those focusing on trajectory analysis and vector diagrams.

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Homework Statement


An object is traveling N59.5E at 5.5 m/s
It experiences an acceleration of 4.4 m/s^2, S76.6E for 1.5 Seconds
When it ends it proceeds for 2.6 seconds with no acceleration
Then is experiences a second acceleration of 4.4 m/s^2, N59.5E for 2.1 seconds

I need to find out the velocity at the end of the two accelerations and draw a diagrm of the path taken by the object

Homework Equations


d=v1t + 1/2at^2
Sine Law

The Attempt at a Solution



I proceeded to find the resultant velocity's magnitude by doing the sqaure root of 5.5^2 + 6.6^2, then using sine law to find the direction of 41.45 degrees. I know i now have to do it again 2 times but i was wondering if this was right?
 
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Write the equations in vector form, what is the velocity as a vector and what is the acceleration as a vector?
 

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