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8 Cards in this Set
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Direct Proportion

a/A = b/B The sides of similar figures are proportional.
y = mx + b Linear trendline equation with slope m and yintercept b Δy/Δx = m Rise / Run = constant slope, occurs when b = 0 in trendline equation 

Distance

d = vavgt Distance travelled at an average speed
d = ½ gt2 Distance of Free fall = 5 m/s2 x time2 d = ½ at2 Distance an object accelerates = ½ x acceleration x time2 

Velocity

vavg = d/t Average speed = distance/time
v = at Instantaneous speed = acceleration x time v = gt Free fall Velocity = 10m/s2 x time v= sqrt(2gd) Free fall Velocity = sqrt(2 x gravity acceleration x drop distance) v =sqrt(2KE/m) Instantaneous Velocity = sqrt(2 x Kinetic Energy/mass) 

Acceleration

a = (vfinal–vinit)/t Acceleration = (final Velocity– initial Velocity)/time
a = FNET/m Acceleration = Net Force / total mass 

Force

w = mg Weight = mass x 10m/s2
FNET = ma Net Force = total mass x acceleration P = F/a Pressure = Force/Area 

Temperature

ΔT = Tfinal  Tinitial Temperature Change = final temperature – initial temperature
K = C + 273 Kelvin degrees = Celsius degrees + 273 

Energy

W = Fpd Work = Force in direction of displacement x Displacement
Work = mgh Work = Weight x lift height The energy required to lift a weight. PE = Work  Work stored as Potential Energy KE = ½ mv2  Kinetic Energy = ½ mass x (instantaneous velocity)2 ME = KE + PE Total Mechanical Energy = Kinetic Energy + Potential Energy W+ Q = ΔME = ΔKE + ΔPE Work + Heat in = the change in Total Mechanical Energy QFriction = FFrictiond Heat Energy = Friction Force x distance Q = mcΔT Heat = mass x specific hea00t x temperature change P = Work/t  Power = Work/Time Eff = Usable Energy/Energy Input Efficiency of energy usage 

Waves

f = 1/PFrequency = Reciprocal of Period (and vice versa)
v = f λ Wavespeed = frequency x wavelength E = (h x 1034J/Hz) f Energy of photon = Planck’s constant x frequency c = 3x108/n = c/n Speed of light in matter = speed of light in vacuum/index of refraction M = hi/ho Magnification = Image Height/Object height anglereflection = angleincidence Angle of reflection = Angle of incidence Energy of a photonE = hf h = Planck’s constant = 6.6x1034 J/Hz 