A velocity-time graph for a moving object is shown below. What will be the total displacement during time t =0 to t = 6s?

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answer is A.

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Detailed Solution

Concept: The change in position with regard to time makes up the body's displacement. The graph above shows how a body's velocity fluctuates with respect to time. Therefore, using the area under the line graph shown above as a total will allow us to choose the right option from the list.
Equation used:

d = v \times t

Let's assume that a body is travelling with constant velocity, or "v." If the body moves by 'd' in a period of time 't,' then the relationship between the aforementioned motion parameters is given by,

d = v \times t

If a graph of the velocity variation over time is provided, the net displacement of the body may be calculated from the area under the graph's curve. This is due to the fact that the area under the graph represents the fluctuation of the y parameter, or velocity, and the x parameter, or time, which is nothing more than the body's displacement. It is not required for the body to move at a steady speed in this situation.
According to the graph above, the body travels at a constant speed, or from the time period
of t0=0 to t2=2s seconds. Consequently, the body's displacement (d) , or the area under the curve, is
Area = (