Two cars leave an intersection at the same time. Car X is travelling East at 50 km/hr and Car Y is travelling South at 60 km/hr. Find the rate at which the cars are separating after 30 minutes.

Answer 1

X and Y move perpedicular to each other, forming a right triangle.

As such, the distance between the cars is sqrt(X^2 + Y^2), where X = +50 km/hr, Y = +60 km/hr. (These are functions.)

We want the RATE at which these cars are seperating, so take the first derivative of the above equation, then plug in .5 into that equation (30 mins = .5 hours).

Answer 2

what will be the final answer of this

Answer 3

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