Math Problem Statement

draw velocity versus time T(s):.045,.079,.107,.131,.153,.173 V(m/s):1.11,1.49,1.79,2.07,2.27,2.48 record the slope

Solution

The average slope of the velocity versus time graph is approximately 10.63m/s210.63 \, \text{m/s}^2. This slope represents the average acceleration over the given time intervals.

Do you have any questions or need further details? Here are some related questions for further exploration:

  1. How would the graph change if the acceleration were not constant?
  2. What does the slope tell us about the motion of the object?
  3. How can we use this graph to find instantaneous acceleration at specific points?
  4. What would the graph look like for a decelerating object?
  5. How can we calculate the displacement from this velocity-time graph?

Tip: The slope of a velocity-time graph is a direct measure of acceleration. A constant slope indicates uniform acceleration.