Physics

Analyze a-t graph

From to :

The acceleration is (constant). So the velocity increases linearly with time from to . The slope of the graph in this interval is (positive).

 

From to :

The acceleration . When , the velocity remains constant. So the graph is a horizontal line in the interval with the velocity at ).

 

From to :

The acceleration (constant). The velocity decreases linearly with a slope of (negative).

 

Then, analyze each v-t graph:

Option A

The velocity starts from 0, increases linearly to in the first seconds, which is incorrect as the acceleration is positive in the first seconds, so the slope should be positive.

 

Option B

The velocity starts at and decreases to in the first seconds. So, the behavior of the graph does not match the description based on the graph.

 

Option C

The velocity starts from , increases linearly to

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