VECTORSA∙B = ABcos(α) = (AXBx)i+(AyBy)jAxB = ABsin(α)STATE, SYSTEM, PARTICLESystem-what you are looking at State-all the info needed to answer all Qs about systemVELOCITYVavg = Instantaneous Vx= = x’ACCELERATIONAavg= Instantaneous: Ax= = x’’X(t)=x0+Vxot + ½ at2Y(t)=y0+Vyot + ½ at2GRAVITYY(t)=y0+Vyot - ½ gt2Vf2= Vi2– 2g(y-y0)3 DIMENSIONSr= xi+yj+zkVavg= i+ j+ kV= = I+ j + kAavg== I+ j + kA = = I + j+ k|V| = UNIFORM CIRCULAR MOTIONT = period of rev, angular frequencyV = Position = 2D PROJECTILE MOTIONX(t) = x0+ Vx0ty(t) = y0+ Vy0t- ½ gt2Vx(t) = Vx0Vy(t) = Vy0-gtVy2= Vy02-2g(y-y0)NEWTON’S LAWS1stLaw- In the absence of forces, a particle moves with constant velocity2ndLaw- For a particle of mass m, the net force Fnet=F1+F2+… on the particle is equal to the mass time aFnet=ma3rdLaw- If object A exerts a force FABon B, then object B exerts a force FBAon object A; act on different objects but have the same magnitude, action reaction pairsInertial Frame- frame in which Newton’s 1
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