Try If Vectors… 2 steps north 2 steps north 5 steps west 5 steps west 4 steps north 4 steps north 6 steps west 6 steps west 10 steps north 10 steps north.

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Presentation transcript:

Try If Vectors… 2 steps north 2 steps north 5 steps west 5 steps west 4 steps north 4 steps north 6 steps west 6 steps west 10 steps north 10 steps north

Scalar Quantities Speed (m/s)Speed (m/s) Mass (kg)Mass (kg) Time (s)Time (s) Volume (m 3, l)Volume (m 3, l) Quantities involving only MAGNITUDE (size or “how much”)

Vector Quantities VelocityVelocity ForceForce DistanceDistance Quantities involving both MAGNITUDE and DIRECTION 33 m/s

What is similar about these two Vectors? Direction What is different about these two Vectors? Magnitude

What is similar about these two Vectors? Direction What is different about these two Vectors? Magnitude

+ + =

- - =

V Canoe How far will Indian travel if paddling at 1.5 km/h for 2 hrs?

Slow Moving Water V Canoe V River V Result How far will Indian travel if paddling at 1.5 km/h for 2 hrs in a stream with current of 0.5 km/h?

Northward A plane flies northward as shown due to a east blowing wind. Eastward

V Airplane +Westward Northward Where would the plane go if the wind was subtracted? - Eastward

A plane is flying due west at 450 km/h. If it encounters a 40 km/h south blowing wind, what is the resultant speed of the plane? A plane is flying due west at 450 km/h. If it encounters a 40 km/h south blowing wind, what is the resultant speed of the plane?

Just as two vectors can be added to find the resultant… a vector can be broken into x and y components. x y

A ball is launched with an initial velocity of 10 m/s at an angle of 30 degrees above horizontal. What is its velocity in the “x” dimension???

Sin θ = opposite hypotenuse Cos θ = adjacent hypotenuse Tan θ = opposite adjacent θ Soh – Cah – Toa

Sin 30 = ? Cos 60 = ? Tan 45 = ? What does this really mean?

Where will I land?