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question 1 of 5
ryan shoots an arrow upwards while he stands on top of a tree house. the graph shown below traces the path of the arrow while it is in the air, where y is the height of the arrow above the ground, and x is the horizontal distance from the tree house. four stages of the arrows path through the air are marked in the graph below.
at which stage of the arrows path does the height above the ground change at the slowest rate?
○ stage c
○ stage d
○ stage a
○ stage b
The rate of change of height ($y$) with horizontal distance ($x$) corresponds to the slope of the graph. The flatter the slope, the slower the rate of height change. Stage B is the flattest segment on the graph, meaning height changes the least per unit horizontal distance here.
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B. stage B