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Which of the following graphs has a slope that indicates positive acceleration?

Which of the following graphs has a slope that indicates positive acceleration? class=

Verified Answer :

the last one.. cause that's the one where v(velocity) increases over time...

Answer:

The last graph

Explanation:

Acceleration is defined as the rate of change in velocity per unit time:

\(a=\frac{\Delta v}{\Delta t}\)

where \(\Delta v\) is the change in velocity while \(\Delta t\) is the change in time.

In a velocity-time graph, the acceleration also corresponds to the slope of the curve. Among all the graphs shown here, only the second one and the 4th one shows a velocity-time graph. Among these two, only the 4th graph shows a curve with positive slope: this means that the velocity is increasing, so the acceleration of the object is positive.