Posted by Shawn on Thursday, December 30, 2010 at 3:51pm.
If 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)
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 ...
Calculus - A Baseball Diamond has the shape of a square with sides 90 feet long...
math final studying - the distance between bases on a baseball feild is 90 feet....
Calculus - A baseball diamond is a square with side 90 feet. A batter hits the ...
Calculus - A baseball diamond is a square with side 90 feet. A batter hits the ...
calculus - A baseball diamond is a square with side 90 ft. A batter hits the ...
math/physics - During a race, one runner runs at a 6 min/mi pace and another ...
math - 1. A baseball diamond is a square with a distance of 90 feet between the ...
Pre cal. - Determine the linear velocity of a point rotating at 25 revolutions ...
For Further Reading
