question 4 listen the height of a leaf, h, being carried by the wind is a function of time, t, since the…

question 4 listen the height of a leaf, h, being carried by the wind is a function of time, t, since the observation began. the graph of the function is shown below. for which interval of time is the leaf moving the fastest? height (feet) 20 16 12 8 4 0 1 2 3 4 5 6 7 8 time (seconds) a 1≤t≤3 b 3≤t≤4 c 4≤t≤7
Answer
Answer:
B. $3\leq t\leq4$
Explanation:
Step1: Recall speed - slope relation
Speed is related to the slope of the height - time graph.
Step2: Analyze slope of intervals
The steeper the graph, the greater the speed.
Step3: Compare intervals
The interval $3\leq t\leq4$ has the steepest part of the graph.