Aim: How do we solve vector problems mathematically?

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Presentation transcript:

Aim: How do we solve vector problems mathematically? HW:

How do we break down vectors into x & y components? X & Y X Y (Horizontal) (Vertical)

Station Activity Go to the station assigned and work with a partner on the given question.

A sailboat travels East across water with a velocity of 5 m/s A sailboat travels East across water with a velocity of 5 m/s. At the same time there is a wind blowing 2 m/s South. What is the boats resultant velocity?

A rocket travels 35 degrees North of West with an acceleration of 2 m/s. What is the x and y component of it’s motion?

Vector Addition To calculate a vector by vector addition… Break known vectors into components. Combine similar (same direction) components. Use pythagorean theorem to combine horizontal and vertical components. Calculate the direction (angle) with SOHCAHTOA.

Mailman Richard Mailman Richard leaves the post office and drives 22.0 km in a Northernly direction. He then drives in a direction 60.0o South of East for 47.0 km. What is his displacement from the post office?

Mailman Richard Lets try to calculate the resultant mathematically! Y-Component 22 km N & -47Sin(60o) km X-Component 47Cos(60o) km Now What? Total Y = -18.7 km Total X = 23.5 km Resultant? D2x+D2y = D2 Angle? (TOA)

What do we remember about vectors? Write all key terms related to solving vector problems. Write your own problem for the class. Vectors- Magnitude & Direction Resultant: Sum of vectors Equilibrium Force Head to Tail Method Break into x & y components… why??? Use Pythagorean Theorem to add components. Use TOA for angle Why are vectors broken into two components?

Summary With Forces Using the the triple force scales, what happens when everyone is pulling, but nobody moves? Equilibrium If we are asked to subtract vectors, this means we add vectors for the opposite direction. V1 – V2 = V1 + (-V2) What is the equilibrium force for the two students pulling? Roll into a lab with vectors! Two students pull on each other