Two cars start moving from the same point. One travels south at v miles per hour and the other travels west at w miles per hour. Show that the rate of the distance between two cars is changing at a constant rate of $\sqrt { v ^ { 2 } + w ^ { 2 } }$ miles per hour.

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The Answer of Two cars start moving from the same point. One travels south at v miles per hour and the other travels west at w miles per hour. Show that the rate of the distance between two cars is changing at a constant rate of $\sqrt { v ^ { 2 } + w ^ { 2 } }$ miles per hour.

Two Cars Start Moving from the Same Point v2+w2\sqrt { v ^ { 2 } + w ^ { 2 } }v2+w2​

Two Cars Start Moving from the Same Point $\sqrt { v ^ { 2 } + w ^ { 2 } }$