learningphysics said:What does the area under an a-t graph represent?
circuscircus said:I was thinking of integrating y=-x+4 but I don't think I'm suppose to do that and also I don't know how to find +c.
circuscircus said:Well the area under the chart is 8 at 4 seconds but that's the vi so how doe sthat come into play?
Acceleration is the rate of change of an object's velocity over time. It is a measure of how quickly an object's velocity is changing. The relationship between acceleration and velocity is that acceleration is the cause of a change in velocity. For example, if an object's acceleration is positive, its velocity will increase over time.
To calculate velocity from an acceleration vs time graph, you can use the area under the curve. The slope of the curve represents the object's acceleration at any given point. Integrating the acceleration over time will give you the change in velocity over that time period.
Yes, an object can have a constant acceleration and changing velocity. This can happen when the object's acceleration is in a different direction than its initial velocity. For example, if an object is moving at a constant speed in a circular motion, its velocity is constantly changing due to the change in direction, but its acceleration remains constant.
The shape of an acceleration vs time graph can provide information about an object's motion. A horizontal line represents zero acceleration, and therefore the object is moving at a constant velocity. A positive slope represents an object with a constant acceleration, while a negative slope represents an object with a deceleration. A curved line indicates a changing acceleration, which can result in a changing velocity.
Average acceleration is the overall change in velocity over a given time period, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration can be calculated by dividing the change in velocity by the change in time, while instantaneous acceleration can be calculated by finding the slope of the tangent line on an acceleration vs time graph at a specific point.