Two cars start moving from the same point. one travels south at 60 min/h and the other travels west at 25 min/h. at what rate is the distance between the cars increasing three hours later?

Step-by-step explanation:

They are travelling perpendicularly.

One travels south at 60 mi/h and the other travels west at 25 mi/h.

We need to find at what rate is the distance between the cars increasing three hours later.

          After 3 hour distance traveled by car 1 = 60 x 3 = 180 miles

          After 3 hour distance traveled by car 2 = 25 x 3 = 75 miles

Let the distance be s, distance by car be s₁, and distance by car 2 be s₂

We have

                        s² = s₁²+s₂²

Differentiating

Substituting

Distance is increasing at 65 mi/hr after 3 hours.

sine

step-by-step explanation: