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Chapter_2_Motion_in_One_Dimension-2

Chapter_2_Motion_in_One_Dimension-2 - Yeah Motion(A K A...

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Yeah Motion! (A. K. A. Kinematics)

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What is it? Kinematics is the study of motion! Including: -Translation -Rotation -And Vibration
Getting on the Same Page Cartesian . . . er . . . uh, coordinate frame Cylindrical Spherical What kind of system do we use for Navigation? Spherical! GPS uses the WGS84 system!

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1 dimension Position (x) – Where you are on the number line! Displacement (Δx) – Final Position – Initial Position Distance – Length Traveled So what’s the difference between Displacement and Distance? Direction! This means Displacement is a Vector!
2 1 2 1 x x x v t t t - = - Average Velocity

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t 0 x dx v lim t dt ∆ → = = Instantaneous Velocity Look Familiar? It’s the slope a.k.a. Derivative
Speed Vs. Velocity Just as with distance vs displacement, speed is a scalar or numerical quantity only, whereas velocity has a direction and is therefore a vector! As with Velocity speed can be averaged or instantaneous • S avg = D/(Δ t), where D is the distance traveled the displacement!

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