Acceleration versus time graph - constant increase in acceleration

In summary, on an acceleration vs time graph, a constant increase in acceleration would appear as a sloped line, while a curved line would indicate an increasing rate of acceleration. A curved line on a velocity vs time graph would also show an increasing acceleration. The relationship between velocity vs time and acceleration vs time is that when velocity has a positive slope, acceleration is positive, and when velocity has a negative slope, acceleration is negative. However, it is important to consider the frame of reference when looking at these graphs.
  • #1
UrbanXrisis
1,196
1
On an acceleration vs time graph, how would an object move if there was a constant increase in acceleration? Is it possible to have an acceleration v time graph be curved?

Also, I'm seeing a pattern in the relationship between velocity vs time and acceleration vs time. Correct me if I'm wrong but when velocity has a positive slope, the acceleration is positive. When the slope is negative, the acceleration is negative too. Am I correct?
 
Physics news on Phys.org
  • #2
The pattern you see is correct. THe slope of a v-t graph is the acceleration of the object at that moment.

As to your first statement, a constant increase in the rate of acceleration would appear as a sloped line on an a-t graph, and an upward curve on a v-t graph.

A curved line on an a-t graph would mean that not only was the acceleration increasing, but the rate at which the accelration increased was itself increasing.
 
  • #3
For a a vs. t graph to be curved of course there would be, for example, and exponential acceleration... i wasn't sure but i ploted one on my graphic calc using the points (1,2),(2,4),(3,16),(4,256) X being time, y being accel...if u graph it its a parabolic curve.

I don't see any conflicts with ur v vs t and a vs t relationship but I'm tired and I'm hittng my head so i can think. The only thing is since velocity is a vector and not a scalar...it depends on ur frame of reference so it can get tricky...be careful on how u look at the graph
 

FAQ: Acceleration versus time graph - constant increase in acceleration

What is an acceleration versus time graph?

An acceleration versus time graph is a visual representation of the change in an object's acceleration over a period of time. The acceleration is typically measured in meters per second squared (m/s^2) and the time is measured in seconds (s). The graph shows how the acceleration of an object changes over time, either increasing, decreasing, or remaining constant.

What does a constant increase in acceleration look like on an acceleration versus time graph?

A constant increase in acceleration on an acceleration versus time graph will appear as a straight line with a positive slope. This means that the acceleration of the object is increasing at a constant rate over time.

How is acceleration calculated from an acceleration versus time graph?

Acceleration can be calculated by finding the slope of the line on the acceleration versus time graph. This can be done by dividing the change in acceleration by the change in time. The units for acceleration are meters per second squared (m/s^2).

What does a negative slope on an acceleration versus time graph indicate?

A negative slope on an acceleration versus time graph indicates a decrease in acceleration over time. This means that the object is slowing down.

Can an object have a constant increase in acceleration?

Yes, an object can have a constant increase in acceleration. This means that the acceleration of the object is increasing at a steady rate over time. For example, if a car is accelerating from 0 m/s to 10 m/s in 5 seconds, and then from 10 m/s to 20 m/s in the next 5 seconds, the acceleration is increasing at a constant rate of 2 m/s^2. This would be represented by a straight line with a positive slope on an acceleration versus time graph.

Similar threads

Why would this be accelerating positively?
Replies
6
Views
531
Experimentally calculating the acceleration due to gravity
Replies
13
Views
2K
Relation between Friction, Velocity, and Acceleration
Replies
16
Views
432
A child rolls a marble....Plot graphs etc.
Replies
4
Views
5K
Obtaining Acceleration from Position vs Time graph
Replies
3
Views
5K
Constant velocity, constant acceleration?
Replies
11
Views
2K
Inconsistency in a Velocity-Time Graph
Replies
13
Views
3K
Finding acceleration from Velocity vs Position graph
Replies
2
Views
3K
A or B? Increase in Velocity Backwards & Acceleration Forward
Replies
19
Views
2K
Finding the change in velocity from an acceleration vs time graph
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top