Need help with the interpretation of this v(t) graph

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Homework Help Overview

The discussion revolves around interpreting a velocity-time graph to determine the distance traveled by an object and its acceleration over specified time intervals. The subject area includes kinematics and the relationships between velocity, acceleration, and position.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between velocity, position, and acceleration, questioning how to apply this to solve the given problems. There are attempts to clarify the use of a chart for calculations and to understand the implications of the graph provided.

Discussion Status

The conversation is ongoing, with participants offering guidance on how to approach the problems. Some have provided specific calculations and interpretations of the graph, while others are still seeking clarity on their methods and results.

Contextual Notes

Participants have noted the need to show their work and clarify their approaches to receive assistance. There is a focus on understanding the definitions and relationships between speed, velocity, and acceleration as they relate to the graph.

  • #31
gladidi said:
The last point is to calculate the distance traveled by objects.
it is said that should calculate the surface area
Yes, in a velocity-time graph the distance traveled is given by the 'area' under the graph line. But the area of each square means the product of the coordinate intervals.
Here, the vertical grid lines are at 1 second intervals and the horizontal grid lines at intervals of 2m/s, so each little square represents 1 second x 2m/s = 2m.
 
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  • #32
haruspex said:
Yes, in a velocity-time graph the distance traveled is given by the 'area' under the graph line. But the area of each square means the product of the coordinate intervals.
Here, the vertical grid lines are at 1 second intervals and the horizontal grid lines at intervals of 2m/s, so each little square represents 1 second x 2m/s = 2m.
Is this right way to solve this? example 35*2+8/2*2?
 

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  • #33
gladidi said:
Is this right way to solve this? example 35*2+8/2*2?
That is the right answer. I cannot tell whether you are expected to do it by counting squares are algebraically. I would use standard formulae for areas of rectangles and triangles.
 
  • #34
haruspex said:
That is the right answer. I cannot tell whether you are expected to do it by counting squares are algebraically. I would use standard formulae for areas of rectangles and triangles.
35*2+8/2*2? is 78m but it's not right..
 
  • #35
gladidi said:
35*2+8/2*2? is 78m but it's not right..
You want the distance for the whole 8 seconds, right?
In the first 4 seconds the average speed is (3+12)/2=7.5m/s. Over four seconds that covers 30m.
For the remaining 4 seconds the speed is 12m/s, giving a distance of 48m.
30m+48m=78m.
 

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