1DMotion - Physics 201: Lecture 2 Kinematics One...

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3/27/08 Physics 201, UW-Madison 1 Physics 201: Lecture 2 Physics 201: Lecture 2 Kinematics One dimensional motion Equations of motion for constant acceleration
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3/27/08 Physics 201, UW-Madison 2 Motion in 1 dimension Motion in 1 dimension Motion: change in position with time. In 1-D, we usually write position as x(t) . Also called trajectory. Since it’s in 1-D, all we need to indicate direction is + or . Displacement in a time Δ t = t 2 - t 1 is Δ x = x(t 2 ) - x(t 1 ) = x 2 - x 1 t x t 1 t 2 Δ x Δ t x 1 x 2 some particle’s trajectory in 1-D
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3/27/08 Physics 201, UW-Madison 3 Average Velocity Average Velocity t x t 1 t 2 Δ x x 1 x 2 trajectory Velocity v is the “rate of change of position” Sign of v tells the direction the object is moving Magnitude of v is the speed Average velocity v av in the time Δ t = t 2 - t 1 is: Δ t V av = slope of line connecting x 1 and x 2 .
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3/27/08 Physics 201, UW-Madison 4 Consider the limit t 1 t 2 Instantaneous velocity v is defined as: Instantaneous Velocity Instantaneous Velocity t x t 1 t 2 Δ x x 1 x 2 Δ t so v(t 2 ) = slope of line tangent to path at t 2 .
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3/27/08 Physics 201, UW-Madison 5 Acceleration Acceleration Acceleration a is the “rate of change of velocity” Average acceleration a av in the time Δ t = t 2 - t 1 is: And instantaneous acceleration a is defined as: using
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3/27/08 Physics 201, UW-Madison 6 Acceleration Acceleration Constant velocity Zero acceleration Constant acceleration in the same direction as v Increasing velocity Constant acceleration opposite of v Decreasing velocity
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3/27/08 Physics 201, UW-Madison 7 Skydiver Jumps Out A skydiver is falling straight down, along the negative y direction. During the initial part of the fall, her speed increases from 16 to 28 m/s in 1.5 s. Which of the following is correct?
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1DMotion - Physics 201: Lecture 2 Kinematics One...

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