Drawing velocity time graphs from distance-time graphs

AI Thread Summary
To draw a velocity-time (VT) graph from a distance-time (DT) graph, calculate the velocity using the formula v = Δs/Δt, where Δs is the change in distance and Δt is the change in time. For unit conversions, to convert 175 kg·m/h² to g·cm/s², multiply by conversion factors that allow for cancellation of units. It's essential to maintain the integrity of the units by creating "1" from the target units in the numerator and existing units in the denominator. This method ensures accurate conversions step by step. Understanding these principles will facilitate both graph drawing and unit conversions effectively.
Alain12345
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Can someone please tell me how to draw a VT graph from this DT graph? Thanks.

Edit: Sorry, one more question. This is about unit conversions though. How do I convert 175 kg x m/h2 to g x cm/s2?
 

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Not being able to see your graph, I can tell you this. Obtain the velocity (velocities?) from your first graph through v=\frac{\Delta s}{\Delta t}. Can you go from here?
 
The trick in units conversions is to keep multiplying by one at each step. Just make your "1" special by putting the target units in the numerator and the existing units in the denominator, and cancel units that show up in both the numerator and denominator of the product. Like if you want to convert 175kg to g,

175kg * (1000g/1kg) = etc.

Or if you want to convert hours^2 to seconds^2,

1hour^2 * (3600seconds/hour)^2 = etc.

Does that make sense?
 

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