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How can you use graphs to calculate the displacement of an object?
O
A. Find the area under the position-time graph
O
B. Find the slope of the position-time graph
O
C. Find the area under the velocity-time graph
O
D. Find the slope of the velocity-time graph

Respuesta :

maggie3772

Answer:

C

Explanation:

The order is this: Displacement --> Velocity --> Acceleration.  The velocity directly affects the displacement and the acceleration directly affects the velocity. (changing the acceleration changes the velocity which also changes the displacement).

To go forward in our order, find the slope of the curve/line.  To go backwards, find the area under the curve/line.  In this case, we are trying to find the displacement of the object, so we should find the area of a velocity-time graph.

In graphs, to calculate the displacement of an object we have to find the slope of the velocity-time graph.

What is Displacement?

  • On the velocity/time graph, mark the beginning and end of some period.  
  • The displacement of the object during that time is the area between those two times and between the graph and the x- (time-) axis.  
  • In places where the graph is above the x-axis, the area adds to the total.  
  • If there are any places where the graph is below the x-axis then that much area subtracts from the total (because negative velocity means moving backward, so naturally the displacement is getting smaller during that part of the time).

Therefore, option (b) is the correct answer.

Learn more about displacement

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