Understanding Kinematic Graphs and Instantaneous vs. Average Acceleration

AI Thread Summary
The discussion centers on analyzing the motion of a particle along the x-axis with a given velocity function. Participants are tasked with sketching a velocity versus time graph and calculating average accelerations over specified intervals. The average accelerations for the intervals from t = 3.0 s to 4.0 s and from t = 4.0 s to 5.0 s are noted, with values of 238.8 m/s² and 129.1 m/s², respectively. There is an emphasis on the importance of sketching the graph as part of the homework assignment. Understanding the relationship between instantaneous and average acceleration is crucial for solving the problem effectively.
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Homework Statement



A particle moves along the x-axis with velocity vx = (9.7 m/s2)t - 6.0 m/s.
(b) Sketch vx versus t over the interval 0 < t < 10 s. (Do this on paper. Your instructor may ask you to turn in this work.)

(c) How do the instantaneous accelerations at the middle of each of the two time intervals specified in Part (a) compare to the average accelerations found in Part (a)?
3(No Response)
(a) Find the average acceleration for two different one-second intervals, one beginning at t = 3.0 s and the other beginning at t = 4.0 s.
aavg, 3.0 to 4.0 s and aavg, 4.0 to 5.0 s

Homework Equations



AT^2-Bt+c

The Attempt at a Solution



238.8 m/s^2

129.1 m/s^2
 
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Did you sketch the graph as required? Care to post it. This is a very important step and should not be skipped.
 
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