Math Problem Statement
Suppose that an object is moving along a vertical line. Its vertical position is given by the equation , where distance is measured in meters and time in seconds. Find the approximate value of the average velocity (accurate up to three or more decimal places) in the given time intervals.
Solution
To find the average velocity of the object over a given time interval, we use the formula for average velocity:
where is the position function, is the start time, and is the end time.
Could you please provide:
- The position function .
- The specific time intervals .
With this information, I can calculate the average velocity accurately.
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Math Problem Analysis
Mathematical Concepts
Average Velocity
Position Function
Rate of Change
Formulas
v_avg = (s(t2) - s(t1)) / (t2 - t1)
Theorems
Definition of Average Velocity
Suitable Grade Level
Grades 10-12
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