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One Dimensional Motion
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Distance How far something has moved
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Distance Scalar quantity
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Displacement How far something is from its starting position
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Displacement A vector quantity
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Time The interval between two occurrences
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Uniform Motion Equal displacement occurs during successive equal time intervals
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Uniform Motion Velocity is constant during uniform motion
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Distance vs Time Graph
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Slope Slope = rise/run Slope = y/ x
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Slope On a distance vs time graph: Slope = d/ t
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Slope Slope = d/ t Slope = velocity
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Average Velocity v = d/ t v = d 1 – d 0 t 1 – t 0
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Displacement d 1 = d 0 + vt 1 d = d 0 + vt
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Distance vs Time Graph
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Acceleration a = v/ t a = v 1 - v 0 t 1 - t 0
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Velocity v = v 0 + at v f = v i + at
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Displacement d = d 0 + v 0 t + ½ at 2
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Displacement d f = d i + v i t + ½ at 2
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v 2 = v 0 2 + 2 a(d 1 – d 0 ) v 2 = v 0 2 + 2ad
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v f 2 = v i 2 + 2ad
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v = v 0 + at d = d 0 + v 0 t + ½ at 2 v 2 = v 0 2 + 2ad
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v = v 0 + at v f = v i + at
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d = d 0 + v 0 t + ½ at 2 d f = d i + v i t + ½ at 2
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d f = d i + v i t + ½ at 2 d = v i t + ½ at 2
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v 2 = v 0 2 + 2ad v f 2 = v i 2 + 2ad
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v f = v i + at d = v i t + ½ at 2 v f 2 = v i 2 + 2ad
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Drill A ball is dropped from 490 m. Calculate its: v f & t air
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A car starts 200.0 m west of town, and moves at 15 m/s east. 1) write its best equation 2) where will the car be at 10.0 s 3) When will the car be in town
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Determining Instantaneous Velocity 1)Graph the d/ t data 2)Draw tangent to point of interest 3)Determine slope of tangent
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Velocity vs Time Graphs
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a = slope d = xy or vt d = area
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a = slope = y/ x = v/ t = 62/5 = 12.4 m/s 2
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d = area under curve
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Define each of the following DistanceDisplacement SpeedVelocity Acceleration
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Describe the motion for each series
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Drill: The velocity of a car is increased from 25 to 75 m/s west in 10.0 s. Calculate: a & d
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v f = v i + at d = v i t + ½ at 2 v f 2 = v i 2 + 2ad
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Describe the motion between each interval
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Describe the motion of each series
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Draw a position time graph for a person who walks uniformly from the positive side of the origin back thru the origin to the negative side. Repeat for the negative side.
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Make the following conversions: a) 10 m/s to km/hr b) 72 mph to m/s 1.6 km/mile
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Draw a position time graph of a person who walks one block briskly, waits at a traffic light, walks the next block slowly, waits at another light, then runs the last block.
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A truck starts 400.0 m east of town, and moves at 12 m/s west Find the time & place where the car from the last problem & the truck will be at the same place
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A car increases its velocity from 4.0 m/s to 36 m/s over 4.0 s. Calculate: a & d
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The same car slows from 36 m/s to 15 m/s in 3.0 s. 1) Calculate the average acceleration & dis
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A car accelerates from 15 m/s to 25 m/s in 125 m. 1) Calculate its time & acceleration
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Drill:A car is coasting backwards at 3.0 m/s when its engine starts. After 2.5 s the car is going 4.5 m/s. Calculate a & d
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Motion Variables: v i v f a t d
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Make a chart like the one to the right vivfatdvivfatd
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A car going 4.0 m/s accelerates at 3.0 m/s 2 for 4.0 s. 1) Calculate: v f & d
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A car slows from 44 m/s to 22 m/s in 11 s. Calculate: a & d
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Motion Affected by Gravity
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Gravity A force of attraction between two masses
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Gravity This force causes objects to accelerate towards each other
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Gravity The acceleration of gravity is relatively constant over the Earth’s surface
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Acceleration of Gravity (a g or g) 9.81 m/s 2 Down or (-)
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Gravity Any object in air will have a vertical acceleration of -9.81 m/s 2
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A ball is dropped from a 0.49 km cliff. The acceleration of gravity is -9.8 m/s 2. Calculate: v max & t
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HW: A ball is thrown straight up at 19.6 m/s. The acceleration of gravity is -9.8 m/s 2. Calculate: h max & t air
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Drill: A ball is dropped from a ledge & lands 8.0 s later. Calculate: h ledge & v max
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Homework Problems: 27 – 30 Page 103
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Drill A ball drops from 0.49 km. Calculate: t air & v max
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A man on the ground shoots a gun straight up & the bullet exits the barrel at 980 m/s. The acceleration of gravity is -9.8 m/s 2. Calculate its t air, v f, & h max
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A ball was dropped & landed at 70.0 m/s. The acceleration of gravity is -9.8 m/s 2. 1) Calculate: d & t air
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A pumpkin was dropped from a plane & stayed in air for 10.0 s. The acceleration of gravity is -9.81 m/s 2. Calculate: h & v max.
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Homework Problems: 31 - 33 Page 106
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A cannon on a 2500 m cliff is fired straight up & the ball exits the barrel at 0.98 km/s. The acceleration of gravity is -9.8 m/s 2. Calculate its t air, v f, & h max
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A ball is shot straight up to a height of 1.96 km. The acceleration of gravity is -9.8 m/s 2. Calculate: t air & v i
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Drill: A car increases its velocity from 36 km/hr to 72 km/hr in 5.0 s. Calculate: a & d
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A car rolling backwards at 5.0 m/s accelerates at 3.0 m/s 2 for 4.0 s. Calculate: v final & d
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A car rolling backwards at 25.0 m/s accelerates at 5.0 m/s 2 for 12.0 s. Calculate: v f & d
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Homework Problems: 58 - 60 Page 112 & 113
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Drill: A ball is thrown straight up at 9800 cm/s. Calculate: t air & h max
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A ball is thrown straight down at 25 m/s & stays in air for 4.0 s. g = -9.8 m/s 2 Calculate: initial height & v f of the ball.
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A ball is thrown straight up to a height of 49 m. g = -9.8 m/s 2 Calculate: v i & t air
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Homework Problems: 66 - 68 Page 114
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Drill: A ball is thrown straight sideways & lands in 5.0 s. Calculate: initial height & v max down
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A car rolling backwards at 5.0 m/s accelerates to 11 m/s forward in 4.0 s. Calculate: a & d during that time.
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A car going 36 km/hr slams on brakes, but still hits a tree at 6.0 km/hr after 1.0 s. Calculate: a & d during that time.
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Drill: A ball is thrown straight up and hits the ground in 6.0 sec. Calculate: h max & v i
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Test Date Wednesday 10/25/06
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Classwork Work Problem Section B on pages 56 & 57 in the gray Physics Book.
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Drill: A car goes from 36 km/hr to 54 km/hr in 5.0 s. Calculate: a & d during that time.
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Matching Stuff Formulas Definitions Units
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Definitions MotionPosition VelocitySpeed DistanceDisplacement TimeAcceleration
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Units Displacement Time Velocity Acceleration
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A ball is thrown straight up at 49 m/s. Calculate: t air & h max
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A car rolling backwards at 6.0 km/hr accelerates to 30.0 km/hr forward in 6.0 s. Calculate: a & d during that time.
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A ball is thrown straight up to a height of 490 m. Calculate: t air & v i
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