How do we calculate slope of a acceleration vs.time graph?

In summary, the conversation discusses a lab experiment about acceleration due to gravity. One of the tasks was to create an a-t graph using Aave and Ttotal. The conversation also mentions various intervals and their corresponding values for ∆t, Ttotal, ∆d, Dtotal, Vave, ∆v, and Aave. The question posed is about calculating the slope on an a-t graph and how it relates to falling objects.
  • #1
Roro312
12
0
Im doing a lab about acceleration due to gravity.
And one of the things we had to do is make a a-t graph using the Aave and Ttotal.
Interval ∆t Ttotal ∆d Dtotal Vave ∆v Aave(cm/s^2)
1 0.050 0.050 2.0 2.0 40 - -
2 0.050 .100 4.0 6.0 80 40 800
3 0.050 .150 6.8 12.8 136 56 1120
4 0.050 .200 8.5 21.3 170 34 680
5 0.050 .250 11.0 32.3 220 50 1000
6 0.050 .300 13.9 46.2 278 58 1160
7 .050 .350 15.5 61.7 310 32 640
8 .050 .400 17.4 79.1 348 38 760

my graph looks something like this [PLAIN]http://www.kwantlen.bc.ca/...ebtests/xtgraphquiz/images/image002[/PLAIN] .

My question is how do we calculate slope on a a-t graph and what does this slope tell us about falling objects. Thanks
 
Last edited by a moderator:
Physics news on Phys.org
  • #3


tiny-tim said:
Hi Roro312! Welcome to PF! :smile:


Your link isn't working. :redface:

How about this: http://img370.imageshack.us/img370/9488/96191446sb5.jpg
It looks similar to it
 
Last edited by a moderator:

Related to How do we calculate slope of a acceleration vs.time graph?

What is the formula for calculating slope from an acceleration vs. time graph?

The formula for calculating slope from an acceleration vs. time graph is: slope = change in acceleration / change in time. This can also be written as: slope = (final acceleration - initial acceleration) / (final time - initial time).

How do we determine the units for slope from an acceleration vs. time graph?

The units for slope from an acceleration vs. time graph are the units of acceleration divided by the units of time. For example, if the acceleration is measured in meters per second squared (m/s²) and time is measured in seconds (s), then the units for slope would be m/s²/s, which simplifies to m/s.

Can the slope from an acceleration vs. time graph be negative?

Yes, the slope from an acceleration vs. time graph can be negative. This indicates that the acceleration is decreasing over time. A negative slope can also represent deceleration or slowing down.

How does the slope of an acceleration vs. time graph relate to the object's velocity?

The slope of an acceleration vs. time graph is the rate of change of acceleration over time. This is equivalent to the second derivative of an object's position, which is the object's velocity. Therefore, the slope of an acceleration vs. time graph represents the object's velocity at any given point in time.

Can we use the slope of an acceleration vs. time graph to predict future acceleration?

Yes, we can use the slope of an acceleration vs. time graph to predict future acceleration. By calculating the slope at a certain point in time, we can estimate the rate of change of acceleration and use that information to make predictions about future acceleration. However, this prediction may not be accurate if there are significant changes in the object's motion or external forces acting on the object.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
36K
  • Introductory Physics Homework Help
Replies
9
Views
6K
Back
Top