SOLUTION: In his second time at bat, the equation h= -.0015d2+ .5d + 4 can be used to model the path of the ball hit by Cecil Fielder. The ball is hit toward the portion of the left field wa
Algebra.Com
Question 156130: In his second time at bat, the equation h= -.0015d2+ .5d + 4 can be used to model the path of the ball hit by Cecil Fielder. The ball is hit toward the portion of the left field wall that is 347 ft from home plate.
a) The left field wall at Fenway Park is 37 ft high. Did he hit the ball over for a home run? Explain.
b) Along the the third base line, the wall is 315 ft from home plate. Assume that the angle between the third base line and the wall is a right angle. Find the angle between the third base line and the path of the ball.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In his second time at bat, the equation h= -.0015d2+ .5d + 4 can be used to model the path of the ball hit by Cecil Fielder. The ball is hit toward the portion of the left field wall that is 347 ft from home plate.
a) The left field wall at Fenway Park is 37 ft high. Did he hit the ball over for a home run? Explain.
:
Using the above equation, assume the ball has to clear the fence, not hit the top of it; 38' when it gets out of park:
-.0015d^2 + .5d + 4 = 38
:
-.0015d^2 + .5d + 4 - 38 = 0
:
-.0015d^2 + .5d - 34 = 0
;
Positive solution is about 238 ft, well within the park
:
If you graphed this, you have good picture of this:
distance on the x axis, ball height on the y axis
you can see it would hit the ground just before the base of the wall at 347 ft
(The wall is probably too high for a ground rule double possibility)
:
b) Along the the third base line, the wall is 315 ft from home plate. Assume that the angle between the third base line and the wall is a right angle. Find the angle between the third base line and the path of the ball.
:
Side opposite = 37, side adjacent = 315; find angle A
:
Tan(A) =
A = 6.7 degrees
RELATED QUESTIONS
In his first time at bat in a game at Fenway Park, Cecil Fielder hits a baseball toward... (answered by Earlsdon)
the function h=-5t2+20t+1 models the height, h meters, of a baseball as a function of the (answered by nerdybill)
The path of a ball projected in the air can be represented by the equation h=-16t^2+64t... (answered by AAfter Search,juicystarr17)
A golf ball is hit in the air. the path of the golf ball can be described by the equation (answered by Greenfinch,Alan3354)
A golf ball is hit into the air. The path of the ball can be described by the equation... (answered by Nate)
The path of a ball projected in the air can be represented by the equation h=16t^2+64t... (answered by Alan3354)
A golf ball is hit high into the air. The path of the ball can be described by the... (answered by stanbon)
HELP!!!
tonisha hit a ball into the air with an initial velocity of 48 feet per... (answered by bucky)
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in... (answered by nerdybill)