Sunday

September 21, 2014

September 21, 2014

Posted by **Shawn** on Thursday, December 30, 2010 at 3:51pm.

- Calculus -
**Reiny**, Thursday, December 30, 2010 at 5:45pmIf I recall, the length of a side of a baseball diamond is 90 feet.

Make a diagram of a right-angled triangle using the third base line as one side, the distance of the runner to home plate as the hypotenuse h, and letting the distance of the runner to third be x feet

then x^2 + 90^2 = h^2

2x dx/dt = 2h dh/dt

dx/dt = h (dh/dt) / x

we know dx/dt = -20 ft/sec

and when x= 45

h^2 = 45^2 + 90^2

h = √10125

dh/dt = √10125(-20)/45 = .....

(the negative value of dx/dt shows that the value of x is decreasing, as I defined x)

**Answer this Question**

**Related Questions**

math - A baseball player hits a line drive to center field. As he rounds second ...

Calculus - As a baseball player runs from second to third base, he is going 20 ...

math/physics - During a race, one runner runs at a 6 min/mi pace and another ...

Calculus - A baseball diamond is a 90 foot square with the pitcher's mound at ...

math - 1. A baseball diamond is a square with a distance of 90 feet between the ...

Calculus - A Baseball Diamond has the shape of a square with sides 90 feet long...

finite math - A baseball player hit 59 homeruns in a season. Of the runs, 22 ...

finite math - A baseball player hit 59 homeruns in a season. Of the runs, 22 ...

finite math - A baseball player hit 54 homeruns in a season. Of the runs, 17 ...

math final studying - the distance between bases on a baseball feild is 90 feet....