Calculate average speed/acceleration for the given function

AI Thread Summary
The discussion focuses on calculating average speed, instantaneous speed, average acceleration, and instantaneous acceleration for an object moving along the x-axis, described by the equation x=3.00t^2 - 2.00t + 3.00. The average speed between t=2.00s and t=3.00s was calculated as 13m, which aligns with the definition of average velocity in this scenario. There is clarification on the distinction between average speed and average velocity, noting they are equivalent in this case. The thread also hints at further calculations needed for instantaneous speed and acceleration at specified times. Overall, the calculations and concepts discussed are accurate and relevant to the problem presented.
Alexanddros81
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Homework Statement


Serway Physics Chapter 2

20. An object moves along the x-axis according to the equation ##x=3.00t^2 - 2.00t+3.00##,
where x is in meters and t is in seconds. Determine (a) the average speed between
t=2.00s and t=3.00s, (b) the instantaneous speed at t = 2.00s and at t=3.00s, (c) the average acceleration
between t=2.00s and t=3.00s and (d) the instantaneous acceleration at t=2.00s and t=3.00s.
(e) At what time is the object at rest?

Homework Equations

The Attempt at a Solution



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In part (a) I calculated average velocity but it asks for the average speed which is
given by ##v_{avg} = \frac {d} {Δt}## where d is distance traveled between 2 and 3 seconds, which is
13m. So average speed is the same as average velocity in this case.

Is the above correct?
 

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It all looks ok.
 
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