Week.  Student will: scalars vectors  Distinguish between scalars and vectors  Add subtract vectors  Add and subtract vectors.

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Presentation transcript:

Week

 Student will: scalars vectors  Distinguish between scalars and vectors  Add subtract vectors  Add and subtract vectors

Questions 1)How would you define scalar? 2)How is scalar different from a vector?

Example: Adding Vectors Tail-To-Tip Method

Example: Resultant Displacement Spider-man walks 9.0 m horizontally until he hits a wall. He then decides to climb up a building for 3.0 m. What is his resultant displacement?

Steps 1)Define Spider-man walks 9.0 m horizontally until he hits a wall. He then decides to climb up a building for 3.0 m. What is his resultant displacement?

Choose an equation: Rearrange the equation to isolate the unknown: 2)Plan Trig Review

Substitute the values into the equation and solve 3)Calculate

4)Evaluate Resultant displacement needs both value and direction. In this case, Spider-man’s resultant displacement is 9.5 meters and 18 ° above the horizontal. Warm-Up Video Answer

Example 80 °

Example 145 °

Example 290 °

Example: Directional Components Cyclops is lost in the woods but luckily knows where the X-Men mansion is. The mansion is located 53.0 m at an angle of ° of his current position. What are the x and y-component of his position?

Steps 1)Define Cyclops is lost in the woods but luckily knows where the X-Men mansion is. The mansion is located 53.0 m at an angle of ° of his current position. What are the x and y-component of his position?

Choose an equation or situation: Rearrange the equation to isolate the unknown: 2)Plan

Substitute the values into the equation and solve 3)Calculate

4)Evaluate The x-component is -35 km The y-component is 39.8 km