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Speed, Velocity and Acceleration
Motion
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Distance & Displacement
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Must have a frame of reference
Motion: a change in position relative to a frame of reference Frame of Reference: The object or point from which movement is determined. A system of object that are not moving with respect to one another. Must have a frame of reference to determine motion.
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Choosing a Frame of Reference
Relative Motion: movement in relation to a frame of reference. Most common frame of reference is Earth. Choose a frame of reference that allows you to more accurately describe motion.
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Distance Distance: The length of a path between two points
SI unit: meter (m) Can use kilometer (km) or centimeter (cm)
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Displacement Displacement: the direction from the starting point and the length of a straight line from the starting point to the ending point Includes distance and direction Example of a vector (has both magnitude & direction) Example: Distance: the girl walked 5 blocks Displacement: the girl walked 5 blocks east
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Combining Displacements
Add displacements using Vector addition Straight line If 2 displacements are in the same direction-add vectors If 2 displacements are in the opposite direction-subtract vectors Not straight line Need to combine by graphing…creating a Resultant vector
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Speed & Velocity
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Speed Speed: the ratio of the distance an object moves to the amount of time the object moves Speed = Distance or s = d Time t SI unit: meter/second (m/s)
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Types of Speed Average Speed: the total distance traveled divided by the time it takes to travel that distance Ex. Average speed over an entire trip Instantaneous speed: the rate at which an object is moving at a given moment in time Ex. Speed at a given moment
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Graphing Constant Speed
Speed = Slope of the line
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Graphing Varying Speed
Speed is changing...so, slope for each section is the speed for that time
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Velocity Velocity: description of both speed and direction of motion
Velocity is a vector (can be added like vectors) Velocity = displacement or v = d time t SI unit: m/s
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Acceleration
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Acceleration Acceleration: rate at which velocity changes
Change in speed, direction or both Deceleration: negative acceleration an object slows down Constant acceleration: a steady change in velocity
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Change in Speed Occurs when an object speeds up or slows down
Direction is constant Ex. Free fall: the movement of an object toward Earth due to gravity
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Change in Direction Occurs when an object changes direction
Speed is constant Ex. Riding a carousel Ex. Riding a Ferris wheel
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Change in Speed & Direction
Occurs when there is a change in both speed and direction Ex. Riding a roller coaster
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Calculating Acceleration
Change in velocity divided by the total time Acceleration = (vf – vi) t vf: final velocity vi: initial velocity SI unit: m/s2
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Graphing Acceleration
Acceleration = slope of the line
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