1dkinematics - ∆ t> 0 ∆ x gives sign of v and ∆ v...

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One-dimensional kinematics (the description of 1D motion) THEORY There are six kinematic terms. These definitions (really all definitions) should be memorized . time , t … reading of a stopwatch time interval , t t f - t i … difference in two times position , x … distance from an origin to the location of a particle displacement , x x f - x i … difference in two positions velocity , v x/ t … this is average velocity over t, in the limit t 0, this becomes v dx/dt acceleration , a v/ t … this is average acceleration over t, in the limit t 0, this becomes v dx/dt the sign of ‘a’ doesn’t indicate direction of motion About signs
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Unformatted text preview: ∆ t > 0 , ∆ x gives sign of v , and ∆ v gives sign of a positive(to right) negative(to left) About speed • average speed ( ≠ ave v) is total distance traveled divided by total time interval • speed is the magnitude of the velocity, ∴ speed ≥ 0 About graphs • Velocity is the slope of the x vs t graph, it is either the slope of a line segment connecting two points on the graph or the slope of the tangent line to the graph. • Acceleration is the slope of the v vs t graph, it is either the slope of a line segment connecting two points on the graph or the slope of the tangent line to the graph. EXAMPLES [in class]...
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