  A car starts off 16 miles directly east from the city of Springfield. It travels due north at a speed of 40 miles per hour. After travelling 27 miles, how fast (in radians per hour) is the angle opposite the northward path changing? (Do not include units in your answer, and round to the nearest hundredth.)

Question

A car starts off 16 miles directly east from the city of Springfield. It travels due north at a speed of 40 miles per hour. After travelling 27 miles, how fast (in radians per hour) is the angle opposite the northward path changing? (Do not include units in your answer, and round to the nearest hundredth.)

Step 1

To evaluate the derivative of the  (required ) angle with respect to time

Step 2

Here is the diagram corresponding to the data given.

Step 3

We need to find the derivative of t...

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