The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from
1 answer:
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard quadratic format:
. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.
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For this case we have the following system of equations:
We observe that we have a quadratic equation and therefore the function is a parabola.
We have a linear equation.
Therefore, the solution to the system of equations will be the points of intersection of both functions.
When graphing both functions we have that the solution is given by:
That is, the line cuts the quadratic function in the following ordered pair:
(x, y) = (1, 2)
Answer:
the solution (s) of the graphed system of equations are:
(x, y) = (1, 2)
See attached image.
