For uniformīetween distance and time show a remarkable symmetry when viewed graphically. If velocity changes at a constant rate we say the acceleration is uniform. Using the graph, state a generalĪnd the steepness (slope) of the line on the graph?Īnd time When velocity changes we say that acceleration has occurred. The steepest slope on the graph? Which point has the line with smallest slope? 2. The origin of the graph (the point 0,0) to each of the plotted points. Plot the number pairs from table 2 on a graph. Note that the units of velocity are units of distance divided by units of Write the calculated numbers in the appropriateīlanks. For each of the two sets, mark the box of the greatest velocity.įor each the pairs of numbers in table 2, determine which represents the greatest Highest velocity is the greatest distance in the smallestĪmount of time. Try to release your mind from the paradigm ofĬalculation and look at the RELATIONSHIP. Location is measured from a reference point in a particular direction then we canĭetermine which pair of numbers in each set in tableġ represents the highest velocity. In this exercise we will try to visualize and understandīetween numbers, ratios, and graphical representations of motion.Īnd time Velocity is the rate of change of location with time. Important thing, not the numbers themselves. In the physical world the numbers we are comparing are measurable physical quantities. They essentially mean the same thing, to compare one number with another. It is no coincidence that the words"rate" and "ratio" are The concept of a rate of change is a fairly sophisticated Displaying RELATIONSHIPS in this way allows forĪ quicker and more intuitive understanding of them. To Descartes, from whom we get the name, Cartesian coordinates. The idea that RELATIONSHIPS such as ratios can be displayed pictorially is usually attributed We take thisįor granted today, but it is really quite a nifty idea. Represents the concept of speed such that the motion of two objects can be comparedĮven when they are not moving in the same vicinity at the same time. He reasoned that he larger the ratio, the faster the speed. The idea that the RELATIONSHIP between distance and time can be expressed as a ratio was Galileo's. Terms exactly what the difference is between a fast and a slow moving object. It is another thing altogether to describe in general The faster horse will run the course in a shorter It is easy to decide which of two things is movingįaster if they are running a race. Prior to Galileo's analysis the concept of speed was nothing more than 83-85, 97-99 Introduction Galileo was the first to consider motion as a quantitativeĪnd time. time References Programġ2 Spielberg & Anderson pp. Slope and area of a graph of velocity vs. Understand the RELATIONSHIPS between distance and time for constant and uniformly accelerated Understand the concepts of ratioĪnd rate of change. Visualize the concepts of velocityĪnd acceleration graphically. Recognize the RELATIONSHIPS between numbers, equations, and graphs. Distinguish between velocity andĪcceleration. Describe motion in terms of distanceĪnd time. You may wish to consult chapters 5 andĦ in the Booth and Bloom text and Programġ2 for reference. Variables which we use to describe motion. Objectives This lab exercise is designed to help you visualize the
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