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Published byMichael Sherman Modified over 8 years ago
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Section 1.2
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What does slope of the line on a distance- time graph tell us? What does slope of the line on a speed-time graph tell us? What does the area under the line in a speed-time graph represent? How do we determine average speed?
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distinguish between scalar and vector quantities, giving examples of each solve velocity problems using velocity, time and displacement relationships find velocity using graphs and slope define acceleration and solve simple problems
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Who has heard of the terms speed and velocity? What is the difference between them? Difference is: Speed = scalar quantity Velocity = vector quantity What does this mean?
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Scalar Only indicates “how much” (magnitude) of a quantity Vector Indicates both magnitude and direction of quantity Vector quantity written with an arrow above the symbol
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Distance = scalar quantity Change in distance from reference point How far did a person move if he walks 10 m from a bus stop?
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Example: Distance vs Displacement Distance travelled is a scalar quantity. It is a measurement of the change in distance of an object moving from a starting reference point. d = 3 m + 5 m = 8 m Displacement is a vector quantity. It is a measurement of the change in distance and the direction or the change in position of an object from a reference point. d = 3 m [right] + −5 m [left] = −2 m [left]
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Displacement = vector quantity Measurement of change in distance and direction/position from the reference point Write as: Δd= 10 m [right] Tells us that the person walked 10 m from the bus stop to the right
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Uses the x and y axes Uses the x axis as the reference starting point at 0 o Directions are determined in a counterclockwise direction Up (90 degrees) and right (0 degrees) are positive Down (270 degrees) and left (180 degrees) are negative Directions between the axis lines are given only in degrees – no positive or negative value
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Going to 90º on grid Use directions on grid Where is your reference point? Which direction are you being pulled?
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Draw in the following angles and give the coordinates: 150º 45º 200º 300º Try p139 #6
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Uses directions: N,S,E, and W to identify vector directions N is the starting reference point of 0 o Directions stated clockwise from North N and E are positive S and W are negative Note: not used in Physics 20/30
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If I start at my reference point and move 3 metres to the right and then 8 metres to the left, what is my displacement? Distance? Draw a picture!!! If a car drives 30 m East and then 50 m West, what is its displacement? Distance? 3 m right 8m left
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Vector quantity Magnitude and direction Average velocity = displacement time elapsed What makes this formula different?
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1) Identify the variables 2) Select and rearrange a formula 3) Substitute 4) Solve
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A person walks 12.0 m [right] of a bus stop in 3.00 seconds. What is the average velocity? A car drives 2.5 km east at 18 m/s. How long does it take to reach their destination? A cyclist is training for a triathlon and rides her bike north at 5 m/s for 3.4 hours. What is her displacement?
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P 141 #8-10
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Graphing displacement-time graphs are the same as distance-time graphs Have to consider direction though (draw it out) What do you think velocity-time graphs are similar to? Speed-time graphs!
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Using the graph paper provided, graph the following data: Time (s)Position of Object (m) [E] 0.0 2.049.8 4.0100.0 6.0150.1 8.0199.9 10.0250.2 1)Find the slope 2) What does this represent? 3) Create a velocity-time graph from this data 4) Find slope and area under the line. What do these represent?
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