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Motion Study Guide & Notes MR. ROSATO’S HONORS PHYSICAL SCIENCE FALL 2014
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Graphing Functions y=f(x) The equation for y=f(x) describes mathematically how y (dependent variable ) depends on x ( independent variable ) y x y = 2x
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Slope of a Curve Slope shows how much y changes with x Slope = 3/2 Y X Y X
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Slope of a Distance-Time (DT) Curve
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Slope of a Distance vs. Time Graph (DT) is SPEED! Slope
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Describe the Motion Practice
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Slope of a Speed/Velocity-Time (VT) Graph is ACCELERATION!
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Positive (Constant) Velocity with Zero Acceleration Positive Velocity with Positive Acceleration The slope of a VT graph shows how fast the speed is changing – or how the object is accelerating Reading a Velocity-Time (VT) Graph
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Acceleration Measures how fast velocity changes 1. Speeding up = + acceleration 2. Slowing down = - acceleration 3. Change in direction = could be + or - = slope of VT curve = change in velocity/change in time
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Calculating Acceleration
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A rocket can move 100 kilometers in 4 seconds. What speed is it moving at? What speed (in m/s) is a skateboarder moving if he can skate 10 kilometers in 10 minutes? A red Ferrari zooms over 500 metres in 4 seconds. What is its speed? How long would it take a snail to slither 20 meters at 5 meters per hour? How many seconds does it take an Indy race car to travel a 240 meter straight section at 80 m/s?
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1. How fast is a bird flying if it goes 50 meters in 5 seconds ? 2. If a lizard crawls 10 meters in 20 seconds, what is its speed? 3. If a fish swims a distance of 4 km in 2 hours, what is its speed? 4. If a baseball is traveling at 60 m/s, how far will it go in 3 seconds? 5. How much time will it take a bike going 5 m/s to travel 20 meters ? 6. If a sprinter runs 40 meters in 5 seconds what is his speed? 7. If an insect travels for 300 seconds at a speed of 2 cm/second, how far will it have traveled?
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