EKS Posted May 8, 2013 Share Posted May 8, 2013 This problem comes out of the Larson Algebra I text (Common Core edition). Fenway Park is a Major League Baseball park in Boston, Massachusetts. The park offers seats on top of the left field wall. A person sitting in one of these seats accidentally drops his sunglasses on the field. The height h (in feet) of the sunglasses can be modeled by the function h = -16t^2 + 38 where t is the time (in seconds) since the sunglasses were dropped. Find the time it takes for the sunglasses to reach the field. Round your answer to the nearest hundredth of a second. OK--I have the teacher's edition, so I have the answer (1.54 seconds) and I know how they got it (by substituting 0 in for h). I'm assuming that the equation means that the wall is 38 feet high and that h is actually the height *above* the wall. Isn't that different than what they actually say, which is that h is the "height of the sunglasses"? Or am I just being totally dense here? Quote Link to comment Share on other sites More sharing options...

Kathy in Richmond Posted May 8, 2013 Share Posted May 8, 2013 You're right that 38 is the wall height, but here h is the height of the sunglasses above the field, not above the wall. The values of h that you compute with that equation will always be numbers less that 38, since you're always subtracting the positive amount 16t^2 from 38. They start at h= 38 when t=0, and decrease to h=0 when t=1.54 seconds. Quote Link to comment Share on other sites More sharing options...

EKS Posted May 8, 2013 Author Share Posted May 8, 2013 I get it now. Thank you both! It seems to me that the problem could be written more clearly if they would have worded it this way: Fenway Park is a Major League Baseball park in Boston, Massachusetts. The park offers seats on top of the left field wall, which rises 38 feet above the field. A person sitting in one of these seats accidentally drops his sunglasses on the field. The height h (in feet) of the sunglasses as they fall to the ground can be modeled by the function h = -16t^2 + 38 where t is the time (in seconds) since the sunglasses were dropped. Find the time it takes for the sunglasses to reach the field. Round your answer to the nearest hundredth of a second. Quote Link to comment Share on other sites More sharing options...

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