an arrow shot vertically into the air from a cross bow reachesa maximum height o
ID: 3090600 • Letter: A
Question
an arrow shot vertically into the air from a cross bow reachesa maximum height of 484 feet after 5.5 seconds of flight. let thequadratic function d(t) represent the distance above the ground tseconds after the arrow is released a find and state d(t) and its domain b at what times to two decimals places will the arrow be250 feet above ground an arrow shot vertically into the air from a cross bow reachesa maximum height of 484 feet after 5.5 seconds of flight. let thequadratic function d(t) represent the distance above the ground tseconds after the arrow is released a find and state d(t) and its domain b at what times to two decimals places will the arrow be250 feet above groundExplanation / Answer
the graphing/diagram tool failed to accept the diagram, so Iwill have to describe it First picture shooting an arrow up and out. for the sake of this example, we will ignore the fact that youa not shooting the arrow from the ground and treat the problem asif you were.....in reality, it probably leaves you about 4 or 5feet off the ground. Imagine the point of origin of the arrow as (0,0). the x-axisis the time, and the y-axis is the height or d(t) (height isa better label, h(t) but use what you are told.) the shape is an inverted parabola. think of the basic equation of a parabola, y = x^2 think of the graphing form of a parabola with the vertex notat (0,0) where's this parabola's vertex? where does the parabola start (see above and end), ie, in howmany seconds is the arrow back on the ground in the middle of these, the parabola is at its apex ormaximum. what are the coordinates of the maximumpoint?...note that this is the vertex, the graphing form is d(t) = a(t-h)^2 +k since you know (h,k) the vertex and you know at least threepoints (0,0) , (11, 0) and (5.5, 484) try plugging in h, k and the point (11, 0) and solve for"a" remember a should be negative because the parabola opensdownward. AS for the time the arrow is 250 feet off theground....replace d(t) with 250 and solve for "t" there will be two solutions. Be sure to draw a graph...it will help make it all cometogether. give it a try... please rate as it takes time to get this typed up foryou..Related Questions
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