The displacement-time graph below represents the motion of a chart initially moving forward along a straight line.During which interval is the cart moving forward at a constant speed

AB

BC

CD

DE

The displacementtime graph below represents the motion of a chart initially moving forward along a straight lineDuring which interval is the cart moving forward class=

Respuesta :

The answer is CD because the line is straight. That means that it is not accelerating or decreasing. Therefore it is at a constant speed.

The uniform motion ratios allow finding which intervals have constant velocity, the correct answers are

         BC       Positive velocity

         CD       Zero speed

         DE       Negative velocity

Kinematics studies the movement of bodies, establishing relationships between position, velocity and acceleration. In the special case that the acceleration is zero the motion is called uniform movement

        v = [tex]\frac{\Delta_x}{\Delta t}[/tex]

        Δx = v Δt

Where v is average velocity, Δx is the position variation and Δt is the time variation in the analyzed interval.

This equation we see that the relationship between displacement and time is linear, let's analyze each interval given in the graph

AB interval

   In this interval the graph shows a curve whereby the movement is accelerated

BC interval

  In this interval the graph is a line with a positive slope, therefore the movement is uniform with positive velocity

CD interval

    In this part we have a line of zero slope

     In motion it is uniform with zero speed, that is, the car is stopped

DE interval

    The graph of this section is a line with a negative slope, consequently the velocity is negative.

With this analysis we see that the only interval that the movement is accelerated is the AB interval  

In conclusion, using the uniform motion relationships we can find that intervals have constant velocity, the correct answers are

         BC     Positive velocity

         CD     Zero speed  

         DE     Negative velocity

         

Learn more about average speed here:

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