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This Graph Describes Mina's Displacement from Her House During a Walk on a Straight Path. What Is the Average Velocity on the Interval

Question

This graph describes Mina's displacement from her house during a walk on a straight path. What is the average velocity on the interval 4<t<18 4leqslant tleqslant 18 800. Displacement (m) 700 800 500 400 300 200 100 Time (min) n 12

Solution

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Answer

To calculate the **average velocity** of Mina on the interval , we use the formula for average velocity: where:- is the change in displacement (final displacement - initial displacement),- is the change in time (final time - initial time).### Step 1: Identify the displacement at and From the graph:- At , the displacement is \( x(4) = 700 \, \text{m} \).- At , the displacement is \( x(18) = 300 \, \text{m} \).### Step 2: Calculate and - \( \Delta x = x(18) - x(4) = 300 - 700 = -400 \, \text{m} \),- .### Step 3: Compute the average velocitySubstitute into the formula: ### Final Answer:The average velocity on the interval is approximately: