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How Fast is Too Fast? The way to catch a knuckleball is to wait until it stops rolling and then pick it up. - Bob Uecker © 2014, Simplify Science Select LLC
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Learning Goals Students will be able to: 1)Create and interpret a distance v. time graph. 2)Use the equation: © 2014, Simplify Science Select LLC
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What we already know… The length between two points can be measured using either: Distance Or Displacement For objects moving that do NOT change direction Distance = Displacement © 2014, Simplify Science Select LLC
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What we learned in the lab… Time is usually the independent variable. Distance is the dependent variable. The slope of a distance v. time graph gives speed © 2014, Simplify Science Select LLC
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Time measures the interval between events measured with a photogate or a stopwatch nearly always the independent variable © 2014, Simplify Science Select LLC
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Displacement (∆d) v. Distance (d) Distance – scalar measuring the total length traveled between two points Displacement – vector measuring the change in position between two points Both are measurements of length measured in meters Start © 2014, Simplify Science Select LLC Stop
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Identify Variables Step #1 Identify the Independent Variable AND Units The IV is the variable you change. Identify the Dependent Variable AND Units The DV is the variable that depends on you changing the IV © 2014, Simplify Science Select LLC
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Title the Graph Step #2 Title the graph using the following convention: Dep Var v. Ind Variable for __________ Investigation Distance v. Time for Walking Investigation © 2014, Simplify Science Select LLC
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Scale the Graph Step #3 Identify the MAXIMUM and MINIMUM measurements Count how many boxes you have on each axis (20) MAX – MIN / # of boxes © 2014, Simplify Science Select LLC
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Plot the Points Step #4 Put all of the data points on the graph. Do NOT forget your scale © 2014, Simplify Science Select LLC
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Draw the Line Step #5 Draw 1 STRAIGHT line that goes through an average of the point Do NOT connect the dots! © 2014, Simplify Science Select LLC
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Find the Slope Step #6 Look at the line NOT your data points! Pick two points that are easy to read Calculate the Rise/Run for those two points © 2014, Simplify Science Select LLC
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Find the Meaning of the Slope Step #7 Calculating the slope is not for fun. The slope has to have meaning. Rise (Distance) = Speed Run (Time) © 2014, Simplify Science Select LLC
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Developing A-1 A student investigates the relationship between distance a toy car and time it is allowed to roll along the floor. What would be an appropriate title for the graph? © 2014, Simplify Science Select LLC
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Proficient A-2 Determine the average speed of the objects based on the graph. Distance (m) Time (s) © 2014, Simplify Science Select LLC
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Proficient A-3 How far will the car be at ‘b’ seconds? © 2014, Simplify Science Select LLC
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Mastery A-4 Determine the average velocity between four and five seconds Time (s) Position (m) © 2014, Simplify Science Select LLC
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Mastery A-5 What time interval will the object shown below be moving the fastest? © 2014, Simplify Science Select LLC
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Average Speed The relationship between speed, distance and time can be seen in the equation: Now you don’t have to graph every set of data to find the speed. © 2014, Simplify Science Select LLC
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Speed and Velocity Speed is distance/time. Velocity is displacement/time Speed and velocity are the same UNLESS the object changes direction © 2014, Simplify Science Select LLC
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Average Speed Equation © 2014, Simplify Science Select LLC VariableNameDefinitionSI UnitMeasured sSpeedRate of change in distancem/s RADAR/Photog ate & Ruler ddistanceTotal length traveledmMeter stick ttimeInterval between eventssPhotogate/sto pwatch
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G.U.E.S.S Method Given – Information problem provides Unknown – What you are solving for Equation – Write the equation (no numbers) Substitution – Put the numbers in the equation Solution – Solve for the unknown © 2014, Simplify Science Select LLC
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Developing B-1 Fill in the word and meaning for the acronym below: G. U. E. S. S. When do we use G.U.E.S.S? © 2014, Simplify Science Select LLC
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Developing B-2 Match the units with the variable. Circle the units if they need to be converted. d meters Newtons sAmperes minutes t miles per hour © 2014, Simplify Science Select LLC
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Proficient B-3 A car travels down a long straight 200 m road for 10 seconds. What is the average speed of the car down the road? © 2014, Simplify Science Select LLC
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Proficient B-4 A student walking down the hall has five minutes to walk 150 m to their next class. What is the minimum average speed the student can have and make it to class? (Answer in STANDARD units) © 2014, Simplify Science Select LLC
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Mastery B-5 You wake up late for school one morning and walk out the door at 8:36 AM. You travel at an average of 60 kilometers per hour for the 11 km trip. If school starts at 8:45 AM will you be on time? © 2014, Simplify Science Select LLC
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