“What’s Your Vector Victor?”. What is wrong the this statement? “To find the buried treasure walk 10 paces from the large rock beneath the single palm.

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Presentation transcript:

“What’s Your Vector Victor?”

What is wrong the this statement? “To find the buried treasure walk 10 paces from the large rock beneath the single palm tree.”

Scalar quantities have magnitude only. Vectors have magnitude and direction.

Some vector quantities Displacement – 10 m west Velocity – 60 m/s upward Acceleration – 9.8 m/s 2 downward Force – 200 N to the right Momentum – 50 kg·m/s at 15º above the negative x-axis Fields (gravitational, electric, magnetic) – 2000 N/C along the –y-axis

Some scalar quantities Distance – 10 m Speed – 60 m/s Mass – 15 kg Energy – 1500 J Temperature – 23º C Work – 180 J Charge – 87 μC

Some basic trigonometry sin cos tan

Vector Addition – vectors are added “head to tail”. The resultant vector (the single vector that replaces all of the vectors) is drawn from the tail of the first vector to the head of the last vector.

A couple of idiot-proof examples.

Vector Components – those that make up the resultant.

Zero (kind of like the students in the class) vectors.

Ex. Harry Potter chases the snitch 5.0 m to the south, magically turns 90º on his broom and flies 8.0 m due west where he catches the snitch. What is Harry’s displacement from his initial position?

Addition of Vectors by Components

Example: A jogger jogs (what else would she do?) 145 m at 20.0º E of N then 105 m at 35.0º S of E. Find the resultant displacement.

Another Example: An airplane makes a trip that has three legs (I thought airplanes had wings). The first leg is 620 km due E. The second leg is 440 km at 45º S of E and the third leg is 550 km at 53º S of W. Find the resultant displacement.

How about one more? A hiker walks 25.0 km at 45.0º S of E on one day and then 40.0 km at 60.0º N of E on the second day. Find the resultant displacement.

“I already love Pre-AP/AP Physics B. This year is going to be so much fun! Thank-you Mr. Evans for being such a wonderfully brilliant and witty teacher!”