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The story so far…. Physics describes your world We can measure our world We use numbers and units to describe our world Next Measuring your position Measuring how your position changes with time. Position. Where you are Place on a map Place on an xy coordinate system. Distance.
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The story so far… • Physics describes your world • We can measure our world • We use numbers and units to describe our world • Next • Measuring your position • Measuring how your position changes with time
Position • Where you are • Place on a map • Place on an xy coordinate system
Distance • Total amount traveled • Doesn’t matter what direction you are moving • Measured in meters
Displacement • Displacement is change in position • Distance from a fixed point • This is a new idea for you • Change in position = final position-initial position • Δx = x2 – x1 = xf - xi • Displacement has both magnitude and direction • If the fixed point is the origin (0,0), displacement and position are the same
Define • Position • Distance • Displacement
Speed • Distance traveled in time (distance/time) • Speed is a scalar • Direction doesn’t matter • m/s, km/h, miles per hour • Motion is relative • Average speed: • total distance/total time • Instantaneous speed: • part of distance/part of time
Velocity • Has both speed and direction – it is a vector! • Change in velocity • change in speed (magnitude) • change in direction • Average Velocity • (where you finish – where you start)/ time to move • total displacement/total time • Instantaneous velocity • part of displacement/part of time • same magnitude as instantaneous speed but has direction
Compare and Contrast • Speed • Velocity • When are they the same? • When are they different?
Speed Equations VelocityEquations
Instantaneous velocity (m/s) 0s to10s 10s to 20s 20s to 45s 45s to 60s Ave Velocity (0s-60s) Ave Speed (0s-60s)