# Finding the change in velocity from an acceleration vs time graph

• MattDutra123
In summary, the change in velocity of the object in the time interval 0 to 4s is 8 m/s, as acceleration is positive and velocity is increasing.
MattDutra123

## Homework Statement

The graph shows the variation with time t of the acceleration a of an object (graph attached).
What is the change in velocity of the object in the time interval 0 to 4s?

a = v/t

## The Attempt at a Solution

My initial answer was -8 m/s, by simply finding the area under the curve. However, the correct answer is 8 m/s (positive). I don't understand how acceleration could be decreasing if the velocity isn't. How can acceleration decrease when the velocity is increasing?

#### Attachments

• Screenshot 2019-03-22 at 18.50.09.png
15.8 KB · Views: 619
MattDutra123 said:

## Homework Statement

The graph shows the variation with time t of the acceleration a of an object (graph attached).
What is the change in velocity of the object in the time interval 0 to 4s?

a = v/t

## The Attempt at a Solution

My initial answer was -8 m/s, by simply finding the area under the curve. However, the correct answer is 8 m/s (positive). I don't understand how acceleration could be decreasing if the velocity isn't. How can acceleration decrease when the velocity is increasing?

Acceleration = rate of change of velocity, so as long as acceleration is positive, the velocity is increasing. In this case, the rate at which velocity increases becomes less as time passes, but it is still positive.

MattDutra123

## What is an acceleration vs time graph?

An acceleration vs time graph is a graphical representation of how an object's acceleration changes over a period of time. The x-axis represents time, while the y-axis represents acceleration.

## How do you find the change in velocity from an acceleration vs time graph?

The change in velocity can be found by calculating the area under the acceleration vs time graph. This can be done by finding the area of each individual rectangle or triangle and then summing them together to get the total change in velocity.

## What does the slope of an acceleration vs time graph represent?

The slope of an acceleration vs time graph represents the rate of change of acceleration. A steeper slope indicates a faster rate of change, while a flatter slope indicates a slower rate of change.

## Can you determine the object's velocity at a specific time from an acceleration vs time graph?

Yes, the object's velocity at a specific time can be determined by finding the slope of the tangent line at that point on the graph. This can be done by drawing a straight line that just touches the curve at that point and calculating its slope.

## How do you interpret the shape of an acceleration vs time graph?

The shape of an acceleration vs time graph can provide information about the object's motion. A linear graph indicates a constant acceleration, while a curved graph indicates a changing acceleration. A horizontal line represents zero acceleration, while a vertical line represents infinite acceleration.

Replies
2
Views
2K
Replies
5
Views
2K
Replies
12
Views
917
Replies
13
Views
3K
Replies
1
Views
8K
Replies
7
Views
886
Replies
7
Views
484
Replies
8
Views
3K
Replies
2
Views
607
Replies
13
Views
1K