## Rate / Related Rates (5)

Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.

The problem presented here is:

**A baseball diamond is a square with side 90 feet. If a batter hits the ball and runs towards first base with a speed of 20 ft. per sec, at what speed is his distance from second base decreasing when he is halfway to first base?**

Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.

{module [79]}

Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.

The problem presented in this video is:

**A plane is flying at a constant altitude of 2 miles, and at a constant rate of 180mi/hr. A camera on the ground is following the plane as it flies away from the camera. How fast must the camera rotate to keep the plane in view when the camera is pointed up at an angle of pi/3?**

{module [79]}

The problem presented in this video is an example solving by implicit differentiation:

**At noon, Ship A is 100km west of Ship B. Ship A is sailing south at 35 km/h and Ship B is sailing north at 25km/h. How fast is the distance between the ships changing at 4:00PM?**

{module [79]}