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PLEASE HELPPPPP

Which graph would best depict the following scenario? A man starts at
the origin, walks back slowly and steadily for 6 seconds. Then he stands still
for 6 seconds, then walks forward steadily about twice as fast for 6
seconds. Note that these are velocity-time graphs.

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PLEASE HELPPPPP Which graph would best depict the following scenario A man starts at the origin walks back slowly and steadily for 6 seconds Then he stands stil class=

Respuesta :

The only graph that accurately depict the given motion is graph D.

The given parameters;

  • initial position of the man = 0
  • direction of the man's first displacement = backward
  • time of first motion, t₁ = 6 seconds
  • velocity of this first displacement = v₁
  • time without any motion (zero movement) = 6 seconds
  • direction of the second displacement = forward
  • velocity of second displacement = 2v₁

Let the acceleration of the first displacement = a

Acceleration of the second displacement = 2a

From the given graphs we can eliminate every graph without initial decrease or motion towards the negative direction.

The only options with initial motion towards the negative direction are;

  • graph B, and
  • graph D.

The difference between graph B and D;

  • in graph B there is a uniform motion for 6 seconds
  • in graph D there is no motion for 6 seconds (this is obvious as the line fall directly on top of the horizontal axis maintaining a value of zero for 6 seconds).

Thus, the only graph that accurately depict the given motion is graph D.

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