Converting velocity/time graph to acceleration/time

Thread starter NINHARDCOREFAN
Start date Sep 11, 2003
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In summary, a velocity/time graph is a visual representation of an object's velocity over a period of time, with the slope representing the object's acceleration. To convert it to an acceleration/time graph, one must find the slope at each point by calculating the change in velocity over the change in time. The formula for calculating acceleration from a velocity/time graph is a = Δv/Δt, with units typically being meters per second squared (m/s^2) or kilometers per hour squared (km/h^2). Negative acceleration can also be represented on a velocity/time graph, indicating deceleration in the direction of motion.

Sep 11, 2003

NINHARDCOREFAN

How do I do that?

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Sep 11, 2003

enigma

Staff Emeritus

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acceleration is the rate of change of time. The rate of change is found by looking at the slope of the graph.

So if velocity is increasing steadily from 0 m/sec at t=0 to 4 m/sec at t=2, then the slope is a constant 2 m/sec². The slope corresponds to a constant acceleration of 2.

Sep 11, 2003

NINHARDCOREFAN

That's what I thought, thanks.

What is a velocity/time graph?

A velocity/time graph is a visual representation of an object's velocity over a period of time. The slope of the graph represents the object's acceleration.

How do you convert a velocity/time graph to acceleration/time?

To convert a velocity/time graph to acceleration/time, you need to find the slope of the graph at each point. The slope represents the object's acceleration at that specific time. You can do this by finding the change in velocity over the change in time at each point.

What is the formula for calculating acceleration from a velocity/time graph?

The formula for calculating acceleration from a velocity/time graph is a = Δv/Δt, where a is acceleration, Δv is the change in velocity, and Δt is the change in time.

What are the units for acceleration on a velocity/time graph?

The units for acceleration on a velocity/time graph are typically meters per second squared (m/s^2) or kilometers per hour squared (km/h^2), depending on the units used for velocity and time.

Can you have a negative acceleration on a velocity/time graph?

Yes, you can have a negative acceleration on a velocity/time graph. This indicates that the object is decelerating, or slowing down, in the direction of motion.