SOLUTION: A video tracking device recorded the height, h, in metres, of a baseball after it was hit. The data collected can be modeled by the relation: h = -5(t-2)2 +21, where t is the time

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Question 1181410: A video tracking device recorded the height, h, in metres, of a baseball after it was hit. The data collected can be modeled by the relation: h = -5(t-2)2 +21, where t is the time seconds after the ball was hit.
a) What was the maximum height of the baseball and when was this height reached?

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


The function is of the form

which graphs as a parabola with vertex at and is convex in a direction commensurate with the sign on the lead coefficient; positive up and negative down

Given this information, you can determine that the vertex is a maximum, and you can determine the time and the height by inspection if you note that the vertex is the point


John

My calculator said it, I believe it, that settles it

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