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lec01-203-07-int-math

lec01-203-07-int-math - 1-12.54 cm = 1in 12 in = 1 ft:3 ft=...

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Unformatted text preview: 1-12.54 cm = 1in. : 12 in. = 1 ft :3 ft= 1 yrd.unit conversion- mole method60 mi/hr= ? m/s1-1.1Measuring AnglesθℓRcircumference = 2πRθ(radians) = ℓRθ(degrees)= θ(radians) ℓ 3602 Rπ1cos(θ)θsin(θ)ππ/22πunit circle3π/290°180°270°360°sin2(θ) + cos2(θ)=11-1.2unit circle[cos(θ),sin(θ)][+,+][-,+][-,-][+,-]abcθa2+b2=c2a csin(θ) =ccos(θ) =b btan(θ) =a b a cθ= sin-1( )cθ= cos-1( )bθ= tan-1( )a a = c sin(θ)b = c cos(θ)1-1.3final positiontimexftfxitipositioncoordinate (x) – measure of positiontime (t)one dimension• how far• what direction + or -average velocityifxxx−=Δdisplacement ififttxxtxv−−=ΔΔ=initial positiontime• how fast• what direction + or -magnitudedirection1-2Δxccavector (position and displacement)- magnitude (length) - directionfinal positiontimextf(xf, yf)tiinitial positiontime(xi, yi)ytwo dimensionsirfrifrrr Δ−=1-3(x, y)rx = r cos(θ)rposition vector- magnitude (length) - direction2 ways to represent position x-diry-dirrθy = r sin(...
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lec01-203-07-int-math - 1-12.54 cm = 1in 12 in = 1 ft:3 ft=...

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