I have two graphs: a linear graph with a slope of 0.781m/s, and a graph that increases at an increasing rate with an average slope of 0.724m/s. What does this tell me about the motion represented in the graphs?

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Answer 1 · 2018-02-21T00:59:16

Since the linear graph has a constant slope, it has zero acceleration. The other graph represents positive acceleration.

Acceleration is defined as #{\Deltavelocity}/{\Deltatime}#

So, if you have a constant slope, there is no change in velocity and the numerator is zero.

In the second graph, the velocity is changing, which means the object is accelerating