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: Recall motion - velocity relation

An object moving in the - direction has negative velocity. An object slowing down has a positive acceleration (opposite to velocity direction). On a velocity - time graph, the slope represents acceleration.

Step2: Analyze each graph

• For the first graph: Velocity is negative and increasing (positive slope), so it's speeding up in the - direction.
• For the second graph: Velocity is negative and magnitude is decreasing (positive slope), so it's moving in the - direction and slowing down.
• For the third graph: Velocity is positive and decreasing (negative slope), moving in the + direction and slowing down.
• For the fourth graph: Velocity is negative and magnitude is increasing (negative slope), so it's speeding up in the - direction.

Answer:

The second graph represents an object moving in the - direction and slowing down.