• Support PF! Buy your school textbooks, materials and every day products Here!

Calculate average speed/acceleration for the given function

  • #1

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 travelled 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

Answers and Replies

  • #2
DrClaude
Mentor
7,339
3,521
It all looks ok.
 

Related Threads on Calculate average speed/acceleration for the given function

  • Last Post
Replies
1
Views
782
Replies
1
Views
4K
Replies
29
Views
11K
Replies
8
Views
889
Replies
2
Views
959
Replies
1
Views
2K
Replies
3
Views
3K
  • Last Post
Replies
5
Views
349
  • Last Post
2
Replies
45
Views
2K
  • Last Post
Replies
1
Views
2K
Top