Solved: Analyzing GraphsEach of the graphs in Exercises 25

Chapter 4, Problem 25PE

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QUESTION:

Problem 25PE

Analyzing Graphs

Each of the graphs in Exercises 25 and 26 is the graph of the position function of an object moving on a coordinate line (t represents time). At approximately what times (if any) is each object’s (a) velocity equal to zero? (b) acceleration equal to zero? During approximately what time intervals does the object move (c) forward? (d) backward?

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QUESTION:

Problem 25PE

Analyzing Graphs

Each of the graphs in Exercises 25 and 26 is the graph of the position function of an object moving on a coordinate line (t represents time). At approximately what times (if any) is each object’s (a) velocity equal to zero? (b) acceleration equal to zero? During approximately what time intervals does the object move (c) forward? (d) backward?

ANSWER:

Solution
Step 1of 4:

We have given a graph of the position function of an object moving on a coordinate line

(a)we have to determine at approximately what times is object's velocity equal to zero

From graph we have the critical point at which is

Hence at  object's velocity equal to zero

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