Math Problem Statement
Solution
To find the average velocity of the object on the interval , we will use the formula for average velocity:
where is the position function, and is the time interval. In this case, , and the interval is .
Step 1: Find
Step 2: Find
Step 3: Calculate the average velocity
Final Answer:
The average velocity of the object on the interval is .
Would you like more details on any of these steps or have any other questions?
Here are 5 related questions:
- How do you find the instantaneous velocity from the position function?
- What is the difference between average velocity and instantaneous velocity?
- How would the average velocity change if the interval was instead of ?
- What is the significance of the sign (positive or negative) of velocity?
- How can you interpret the position function graphically to understand velocity?
Tip: The average velocity is the slope of the secant line connecting two points on the position function graph over a given interval.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Average Velocity
Position Function
Formulas
Average velocity = (s(b) - s(a)) / (b - a)
Theorems
Average Rate of Change
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculating Average and Instantaneous Velocity from a Position Function
Calculating Average and Instantaneous Velocities for s(t) = -4.9t^2 + 32t + 21
Average Velocity of an Object Over Different Time Intervals
Calculating Average Velocity for a Quadratic Position Function
Calculate Average Velocity Using Position Function x(t) = t^2 + 4t - 2