How Do You Calculate Instantaneous Acceleration?

  • Thread starter Thread starter Miike012
  • Start date Start date
  • Tags Tags
    Acceleration
Click For Summary
Instantaneous acceleration is defined as the rate of change of velocity over time. To calculate it, one must take the derivative of the velocity function rather than simply subtracting two velocity values. The formula a = (v - vo) / t can be used, where 'a' is acceleration, 'v' is final velocity, 'vo' is initial velocity, and 't' is time. Understanding this concept is essential, even for those not studying calculus-based physics. Properly applying these principles will lead to accurate calculations of instantaneous acceleration.
Miike012
Messages
1,009
Reaction score
0
I am not sure how to calc. the inst acc...
The velocity was easy but I am not sure about the acceleration?/
 

Attachments

  • sdsdsds.jpg
    sdsdsds.jpg
    5.7 KB · Views: 455
Physics news on Phys.org
Acceleration is the rate of change of velocity.
 
ok for velocity I got 10.1 m/s and 10.25 m/s ...
so substract them is what you are telling me?
 
Both are functions of time, so just subtracting them will not be sufficient. Do you know a function for acceleration you can use? You can obtain it by taking the derivative of the function for velocity.
 
im not in calc based phy
 
I see, sorry about that.

Here's some information that you can use to solve this problem. I don't want to tell you too much because it is good for you to think about it. :smile:

a=(v-vo)/t

where

a=acceleration (m/s2)
v=final velocity (m/s)
vo=initial velocity (m/s)
t=time (s).
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
3
Views
2K
  • · Replies 37 ·
2
Replies
37
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
1K