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Which graph represents the motion of an object traveling with a positive velocity and a negative acceleration?

Which graph represents the motion of an object traveling with a positive velocity and a negative acceleration? class=

Verified Answer :

smmwaite

Answer
graph 2

Explanation
Velocity is the rate of change of displacement. 
Velocity = (change in displacement)/(change is time)
In graph 2, the gradient of the curve is positive, indicating that the velocity is positive.
Acceleration is the rate of change of velocity. 
The steepness of the slope of the same graph (graph 2) is decreasing. This shows that the velocity is decreasing hence a negative acceleration. 


snehashish65

Graph 2 determines the decreasing velocity, so as the negative acceleration. Hence, option (2) is correct.

What is the position-time graph?

The graphical representation between the position of any object at a particular time instant is known as a position-time graph.

The characteristics of the position-time graph is,

  • The slope of the position-time graph gives the velocity of any object. Velocity is the rate of change of displacement.
  • If the slope of an object is negative, then one can conclude that the velocity of an object is negative. In this case, the object slows down concerning time.

In graph 2, the gradient of the curve is positive, indicating that the velocity is positive. Acceleration is the rate of change of velocity. The steepness of the slope of the same graph (graph 2) is decreasing. This shows that the velocity is decreasing hence a negative acceleration.

Thus, we can conclude that graph 2 determines the decreasing velocity and negative acceleration. Hence, option (2) is correct.

Learn more about the position-time graph here:https://brainly.com/question/3072589

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