Calculate average speed/acceleration for the given function

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
Alexanddros81
Messages
177
Reaction score
4

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



Serway Physics 2_20002.jpg
Serway Physics 2_20001.jpg
Serway Physics 2_20003.jpg
Serway Physics 2_20004.jpg
Serway Physics 2_20005.jpg

[/B]
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?
 

Attachments

  • Serway Physics 2_20002.jpg
    Serway Physics 2_20002.jpg
    10.3 KB · Views: 572
  • Serway Physics 2_20001.jpg
    Serway Physics 2_20001.jpg
    27.4 KB · Views: 557
  • Serway Physics 2_20003.jpg
    Serway Physics 2_20003.jpg
    20.3 KB · Views: 569
  • Serway Physics 2_20004.jpg
    Serway Physics 2_20004.jpg
    30.6 KB · Views: 661
  • Serway Physics 2_20005.jpg
    Serway Physics 2_20005.jpg
    32.8 KB · Views: 502
Physics news on Phys.org