Math  /  Calculus

QuestionCar AA is traveling westat 80 km/h80 \mathrm{~km} / \mathrm{h} and car B is traveling north at 100 km/h100 \mathrm{~km} / \mathrm{h}. Both are headed for the intersection of the roads. At what rate are the cars approaching each other when car AA is 0.3 km and car B is 0.4 km from the intersection? Solution: Animation: Figure 3.9.004.

Studdy Solution
Solve for dzdt\frac{dz}{dt}:
dzdt=640.5=128km/h \frac{dz}{dt} = \frac{-64}{0.5} = -128 \, \text{km/h}
The rate at which the cars are approaching each other is 128km/h128 \, \text{km/h}.

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