SOLUTION: Wind resistance, or atmospheric drag, tends to slow down moving objects. Atmospheric drag varies jointly as an objects surface area A and velocity v. If a car traveling at a spee

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Question 42850: Wind resistance, or atmospheric drag, tends to slow down moving objects. Atmospheric drag varies jointly as an objects surface area A and velocity v. If a car traveling at a speed of 40mph with a a surface area of 37.8 ft^2 experiences a drag of 222 N (newtons), how fast must a car with 51ft^2of surface area travel in order to experience a drag force of 430 N?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The equation that governs this is (using d for drag)
d = kAv
Now plug in to find k
222 = k(37.8)(40)
k = .1468
Now rewrite it with this k and the new data to find the new speed...
d = (.1468)Av
v = d / (.1468)A
v = 430 / (.1468)(51)
v = 57.4 mph