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© Nuffield Foundation 2012 Nuffield Free-Standing Mathematics Activity Modelling a test drive © Rudolf Stricker
© Nuffield Foundation 2010 Modelling a test drive The speed of the car measured accurately is not the same as that indicated by the speedometer.
© Nuffield Foundation 2010 Which speed is greater? Why do you think that could be? Is the difference always the same? Is there a rough rule to connect the two sets of speeds? How could you get a more accurate rule to link the two sets of data? Modelling a test drive Acceleration from rest Time t (seconds) True speed v (miles per hour) Indicated speed u (miles per hour) 2.33034 3.54045 5.05055 6.86066 9.47078 13.18089 20.59099
© Nuffield Foundation 2010 Modelling a test drive What can you say about the distance taken to stop after applying the brakes at different speeds? Why is it more difficult to know what sort of function will fit the data in this table? How could you try to find one? Brakes True speed v (miles per hour) Distance d (metres) 30 9.5 5027.5 7052.4 8598.7
At the end of the activity Which method of finding a model did you like best? Which method do you think is the most accurate? Would using a cubic or higher order function be better? If you found any part of the questions difficult, what could you do to improve your mathematical skills? © Nuffield Foundation 2012
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Road test © Brett Wilson.
© Nuffield Foundation 2011 Free-Standing Mathematics Activity Speed and distance.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Model the motion.
© Nuffield Foundation 2012 Nuffield Mathematics Activity DISCUSS regression and correlation CC Rudolf Stricker.
Solve friction problems
STARTER During a road trip, in 6 hours you travel 300 miles. What is your average velocity? Average Velocity = distance travelled/time taken = 300 miles/6.
What is acceleration? My speedometer:. Acceleration occurs when speed changes Now we don’t want our cruise control on We want to use our gas pedal or.
© Nuffield Foundation 2012 Nuffield Free-Standing Mathematics Activity Networks © Rudolf Stricker.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Measure it!
© Nuffield Foundation 2012 Free-Standing Mathematics Activity Fractions, decimals, percentages.
Speed How many measurements for speed can you think of?
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity What’s it worth? © Rudolf Stricker.
Motion Recognizing, Describing, and Measuring Motion.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Plumber’s call-out.
1. Speed, Velocity, & Acceleration 2 You know a car is in motion if you see it in one place 3 then in another place in relation to an object.
© Nuffield Foundation 2012 Free-Standing Mathematics Activity Factor cards: quadratic expressions.
1 of 46© Boardworks Ltd of 46© Boardworks Ltd 2007.
Table of Contents 2 Chapter 2 Motion.
Financial Algebra © Cengage/South-Western Slide DRIVING SAFETY DATA Calculate reaction time and distance in the English Standard System. Calculate.
Motion Review Physics TCHS.
A measure of… How far something goes and… How long it takes to get there.
© Nuffield Foundation 2012 Nuffield Mathematics Activity A risky business © Rudolf Stricker.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.
Let’s do a quick recap of what we know at this point
Area under a velocity-time graph Car travelling at 70 mph for 2 hours Area = This is the distance travelled, 140 miles 2 70 = 140 v mph t hours
Speed and Stopping Distances
MOTION - A CHANGE IN POSITION MEASURED BY DISTANCE AND TIME. SPEED - THE RATE AT WHICH AN OBJECT MOVES. VELOCITY - SPEED AND DIRECTION OF A MOVING OBJECT.
Kinematics Problem 1 If a car starts from rest and accelerates at 5.0 m/s2, how far will it travel and how fast will it be going at the end of 6.0 seconds?
Ch. 1 & 2 Review. Please enter your LAST name. Please enter your FIRST name.
Forces & motion 2012.
Velocity-time graphs. Edexcel Statements Velocity-time graph What story does the graph tell?
© Boardworks Ltd of 49 U Linear functions 3 ESO Mathematics.
© Nuffield Foundation 2011 Nuffield Mathematics Activity Mean values.
A8 Linear and real-life graphs
Motion Notes 3 Forces : Terminal velocity. Terminal Velocity Consider a skydiver: 1)At the start of his jump the air resistance is _______ so he ____.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Outdoor Gig.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Galileo’s projectile model.
Section 4.1 Speed & Velocity b What is motion? A change in the position of an object relative to another object (a reference point), which is assumed to.
Distance vs. Displacement Speed vs. Velocity.
Speed Speed describes how fast an object is moving Speed describes how fast an object is moving If an object is not moving it has no speed If an object.
How to Calculate Speed and Acceleration
1 of 8© Boardworks Ltd 2008 Motion How do you know when something is moving? Objects must be compared to a “reference point”, something that is not moving.
Section 1.5. What is Negative Acceleration? For our purposes – decreasing speed while a car is traveling forward – slowing down.
Chapter 4 Linear Motion You can describe the motion of an object by its position, speed, direction, and acceleration.
SPEED, VELOCITY, AND ACCELERATION. 1.A traveler covers a distance of 460 miles in a time of 8 hours. What is the average speed for this trip? speed =
Speed and Acceleration
4 Linear Motion You can describe the motion of an object by its position, speed, direction, and acceleration.
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