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Vector Addition – Graphical Method Example You walk 75 m West then 50. m South, what is your displacement? Scale What would a 75 m West displacement look like? 1.0 cm = 5.0 m 15 cm = 75 m Pointing West (Left) 75 m Vector Addition – Graphical Method Example You walk 75 m West then 50. m South, what is your displacement? Scale 1.0 cm = 5.0 m What would a 50. m South displacement look like? 10. cm = 50. m Pointing South (Down) 75 m 50. m Vector Addition – Graphical Method Example You walk 75 m West then 50. m South, what is your displacement? Scale How could we represent your displacement over the entire trip? 1.0 cm = 5.0 m 18.0 cm = 90.0 m 75 m 50. m Vector Addition – Graphical Method Example You walk 75 m West then 50. m South, what is your displacement? Scale 1.0 cm = 5.0 m 18.0 cm = 90.0 m 75 m 50. m 90.0 m Vector Addition – Graphical Method Example You walk 75 m West then 50. m South, what is your displacement? Scale 1.0 cm = 5.0 m 18.0 cm = 90.0 m 75 m 34° 50. m 90.0 m d Displaceme nt d 90.0 m at 34 S of W Resultant – the one vector whose effect on a body is the same as the net effect of two or more other vectors. Vector Addition – Graphical Method Example What would your displacement be if you walked South and then West? a 75 m 50. m b d 90 - 34 56 50. m d 90.0 m at 56 W of S 75 m d a b b a Vector addition is Commutative! Vector Addition – Graphical Method To find a resultant using the graphical method 1. Draw one vector to scale. Draw the horizontal vector first when possible. 2. Draw the second vector to the same scale, placing the tail of the second at the head of the first. Head-to-tail construction is the graphical representation of vector addition! 3. Draw the resultant vector from the tail of the first vector to the head of the last. 75 m 50. m d