W2.1 - Physics for Scientists Engineers 1 Spring Semester...

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January 11, 2008 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Spring Semester 2008 Lecture 5
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January 11, 2008 Physics for Scientists&Engineers 1 2 Coming this week: Coming this week: Motion of objects in a straight line, in one dimension. The concepts of position, displacement, and distance. Position, velocity, and acceleration vectors of objects moving in a straight line. Computing the velocity and acceleration of objects moving in a straight line. Mathematical description of motion with constant acceleration. Free fall without air resistance.
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January 11, 2008 Physics for Scientists&Engineers 1 3 Position Position Vectors for one-dimensional motion have only one component, x -component for now. Use the symbol x to denote position vector Note: we leave the vector arrows off for 1d vectors All position vectors are measured relative to the origin of the coordinate system, which can be chosen arbitrarily Vector x can be positive or negative (its magnitude is again always positive, though) Examples for proper 1d position vectors (SI-unit m , + or -) Position vector is a function of time Notation for the time-dependent position vector: x ( t ) Notation: Vector x at some specific time t 1 : x ( t 1 ) =x 1 7 16 0.73 m, 4' 3 ", 13.6 km x x x = = = ! 0 x x x ( t ) t t 1 x ( t 1 )
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January 11, 2008 Physics for Scientists&Engineers 1 4 Graphical Representation Graphical Representation Example: Car is driving down the road (top view) As the car passes the blue dot, we start our clock and record its position in regular time intervals Case 1: constant speed Case 2: speeding up Case 3: coming to a halt
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January 11, 2008
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