Question

Wind resistance varies jointly as an object's surface area and velocity. If an mile per hour with a surface area of 25 square feet experiences a wind resistance of 225 Newtons, how fast must a car with 40 square feet of the surface area travel in order to experience a wind resistance of 270 Newtons?


w = kav

225 = k(25)(40)

225 = 1000k

k = 9/40

w = 9/40 av

270 = 9/40(40)(v)

270 = 9v

270/9 = v

v = 30 mile per hour


Assume that wind resistance varies jointly as an object's surface area and velocity. If a ball with a surface area of 25 square feet traveling at a velocity of 40 mph experiences a wind resistance of 225 Newtons, what velocity must a ball with 40 square feet of surface area have in order to experience a wind resistance of 270 Newtons?

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