Adding Vectors using component method, Slides of Physics

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Adding Vectors: Answers and Solutions

by Daniel Paul M. Chavez

Adding Vectors: Answers and Solutions

by Daniel Paul M. Chavez

Example 1. Chacha walks 300 m East stops to rest and then

continues 400 m East. What is Chacha’s resultant displacement?

Example 1. Chacha walks 300 m East stops to rest and then

continues 400 m East. What is Chacha’s resultant displacement?

A = 300 m(E) + 400 m(E) A = 300 m(E) + 400 m(E)

This is Chacha

300 m 400 m

A = 300 m + 400 m= 700 m(E)

Example 3. Kate walks 500 m East and then turns North

and walks 300 m. Find her resultant displacement.

Example 3. Kate walks 500 m East and then turns North

and walks 300 m. Find her resultant displacement.



Pythagorean Theorem:



Pythagorean Theorem:

This is Kate

500 m

300 m

c² = a² + b²

a = 500 m

b = 300 m

c =?

c² = (500) ² + (300) ²

c² = 250,000 + 90,

c² = 340,

√ 𝑐^ ²=340,

A =

Example 4. Gino walks 600 m East, then turns 400 m North and

finally walks 300 m West. Find Gino’s resultant displacement.

Example 4. Gino walks 600 m East, then turns 400 m North and

finally walks 300 m West. Find Gino’s resultant displacement.

Pythagorean Theorem Pythagorean Theorem

600 m

400 m

300 m

This is Gino

c² = a² + b²

a =

b = 400 m

c =?

a = 600 m – 300 m

a = 300 m

c² = 300² + 400²

c² = 90,000 + 160,

c² = 250,

√ 𝑐^ ²=250,^

A = 500 m, N of E