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Displacement is a vector that points from an object's initial position to its final position and has a magnitude that equals the shortest position between the two positions. Measured in meters (m). |
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average velocity=v v=x-x0 t-t0 = Δ x Δ t |
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Average Acceleration=a a=v-v0 t- t0 = Δ v Δ t |
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What do objects in free-fall experience? |
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A constant acceleration due to gravity (9.8 m/s2 on Earth) and negligible air resistance. All objects above the Earth's surface have the same acceleration due to gravity. |
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Graphical Analysis of Velocity and Acceleration |
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The slope of a position v. time graph of an object is the object's velocity. The slope of a velocity v. time graph of an object is the object's acceleration. |
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Projectile motion is an idealized kind of motion that occurs when a moving object experiences only the acceleration due to gravity. The acceleration is only in the y direction (ay) (ax is always 0). The time to reach maximum height from one point equals the same time for an object to go from the maximum height back to the same point. The speed of a projectile depends only on its height above its launch point, not whether it's moving up or down. The speed of an object at its maximum height is 0 m/s. |
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Kinematics in Two Dimensions |
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To put kinematics equations in two dimensions, simply put the values... in the x direction x-displacement vx-final velocity v0x-initial velocity ax-acceleration in the y direction y-displacement vy-final velocity v0y-initial velocity ay-acceleration ...into the kinematics equations. |
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