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, tâ = 6 seconds
- velocity of this first displacement = vâ
- time without any motion (zero movement) = 6 seconds
- direction of the second displacement = forward
- velocity of second displacement = 2vâ
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;
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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