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the velocity - time graphs represent the motion of four different objec…

Question

the velocity - time graphs represent the motion of four different objects. identify any object that is moving in the - direction and slowing down. tap on all that apply. tap to select or deselect graphs.

Explanation:

Step1: Understand velocity - time graph basics

In a velocity - time graph, the sign of velocity indicates direction (negative for one direction and positive for the other), and the slope indicates acceleration. A negative - sloped graph means the object is slowing down (decelerating).

Step2: Analyze each graph

  • For the first graph: The velocity is negative and the slope is positive, so it is speeding up in the negative direction.
  • For the second graph: The velocity is positive and the slope is negative, so it is slowing down in the positive direction.
  • For the third graph: The velocity is negative and the slope is negative, so it is speeding up in the negative direction.
  • For the fourth graph: The velocity is negative and the slope is positive, so it is slowing down in the negative direction.

Answer:

The graphs where the object is moving in a particular direction and slowing down are the ones with a negative slope and non - zero velocity. So, the fourth graph (negative velocity and positive slope) represents an object moving in the negative direction and slowing down.