2-D Kinematics Vector Resolution

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SUMMARY

The discussion focuses on solving a 2-D kinematics problem involving vector resolution for Snoopy's displacement. The initial velocity of Snoopy is 3.0 m/s at an angle of 15° east of north for 35 seconds, followed by a velocity of 4.5 m/s at an angle of 45° west of south for 30 seconds. The participant correctly identifies the need to resolve the velocities into their x and y components and applies the equations for displacement. The final step involves using the Pythagorean theorem to find the resultant displacement and determining the direction using the tangent ratio.

PREREQUISITES
  • Understanding of 2-D kinematics principles
  • Familiarity with vector resolution techniques
  • Knowledge of trigonometric functions (sine and cosine)
  • Ability to apply the Pythagorean theorem in vector calculations
NEXT STEPS
  • Study vector resolution in 2-D kinematics
  • Learn how to apply trigonometric functions in physics problems
  • Explore the use of the Pythagorean theorem for resultant vectors
  • Practice additional problems involving displacement and direction in kinematics
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of vector resolution in motion problems.

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Homework Statement


Snoopy is running to his doghouse at 3.0 m/s [N 15° E] for 35 s. Charlie has a bone and calls his dog back. Snoopy immediately turns around and runs towards Charlie at 4.5 m/s [S 45° W] for 30 s. Find Snoopy's displacement.

Homework Equations


dt = d1 + d2
d1=d1x + d1y & d2=d2x + d2y
d1x = V1x/t

The Attempt at a Solution


Ok so I've started off with the components. N, E (+) and W, S (-)
V1x = (3.0)(sin15) & V1y = (3.0)(cos15)
V2x = (-4.5)(cos45) & V2y = (-4.5)(sin 45)

d1x = V1x/t
= (3.0)(sin15)/35
= 0.022m

d1y = V1y/t
= (3.0)(cos75)/35
= 0.083m
Therefore d1=0.022+0.083 = 0.11m...

I did the same thing for d2, splitting it up into its component parts. I know that after this I have to use d1, d2 and dr in the pythagorean theorem to find magnitude and then find the vector direction with the tan ratio. I'm just wondering if so far I am on the right track
 
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Agh sorry, please lock this thread. I just rearranged incorrectly for d... it's d=vt not d=v/t
:\
 

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