One Dimensional Motion

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Presentation transcript:

One Dimensional Motion

What is the most basic way to describe an object’s motion? Position A description of an object’s location

Measuring your Position Distance (d) The number of steps you take … How far did you go? Displacement (D) How far are you from where you started? (Straight line distance) D = xf - xi When are these quantities the same? When are these quantities different? Units: Meters (m)

Practice 17m -3m What distance does Jimmy travel? What is Jimmy’s final displacement? 17m -3m

Distance Scalar magnitude, or just a number Displacement Vector magnitude and direction

Practice Total distance? Final displacement?

If an ant goes around the circle 3 times, what is your total distance and final displacement?

Total distance? Final displacement?

Pythagorean Theorem

Practice Jimmy was lost in a field, he found a bottle labeled “drink me” and then proceeded to stager around the field following this pattern: he travel 12m north, 8 m south, 5m east, 20m north, and finally 5m west. What distance did he travel? What was his final displacement? d= 12+8+5+20+5= 50m D= 5m 8m = 20m 24m 5m 12m

= We need to build a triangle we can work with!! 65.76yd First: combine all the up and down vectors Second: combine all the left and right vectors Now build your triangle and put the Pythagorean Theorem to good use! 10 30 20 25 65 = 40 65.76yd

Basics Graphs X X t t X X t t

Graphing and Using data What does the slope mean? What does the y-intercept mean? Can I write an equation for this line?

Practice