Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the velocity-time graphs represent the motion of three different object…

Question

the velocity-time graphs represent the motion of three different objects. identify any object that is getting slower or slowing down. tap on all that apply. tap to select or deselect graphs.

Explanation:

Response

To determine which objects are slowing down, we analyze the velocity - time graphs:

Graph 1 (Left - hand side)

The velocity starts from a negative value (indicating motion in the opposite direction) and moves towards zero as time passes. When an object's velocity is moving towards zero (regardless of the initial sign of velocity), it means the speed (the magnitude of velocity) is decreasing. So, this object is slowing down as its speed is getting closer to zero.

Graph 2 (Middle)

The velocity starts at zero and becomes more negative as time goes on. This means the speed (the magnitude of velocity) is increasing (since we are moving further away from zero in the negative direction). So, this object is speeding up, not slowing down.

Graph 3 (Right - hand side)

The velocity starts from a positive value and decreases towards zero as time passes. When the velocity of an object (with a positive initial velocity) decreases towards zero, the speed (the magnitude of velocity) is decreasing. So, this object is slowing down.

So the objects represented by the left - hand and right - hand velocity - time graphs are slowing down. If we assume the graphs are labeled as Graph 1 (left), Graph 2 (middle), Graph 3 (right), the answer is Graph 1 and Graph 3.

Answer:

To determine which objects are slowing down, we analyze the velocity - time graphs:

Graph 1 (Left - hand side)

The velocity starts from a negative value (indicating motion in the opposite direction) and moves towards zero as time passes. When an object's velocity is moving towards zero (regardless of the initial sign of velocity), it means the speed (the magnitude of velocity) is decreasing. So, this object is slowing down as its speed is getting closer to zero.

Graph 2 (Middle)

The velocity starts at zero and becomes more negative as time goes on. This means the speed (the magnitude of velocity) is increasing (since we are moving further away from zero in the negative direction). So, this object is speeding up, not slowing down.

Graph 3 (Right - hand side)

The velocity starts from a positive value and decreases towards zero as time passes. When the velocity of an object (with a positive initial velocity) decreases towards zero, the speed (the magnitude of velocity) is decreasing. So, this object is slowing down.

So the objects represented by the left - hand and right - hand velocity - time graphs are slowing down. If we assume the graphs are labeled as Graph 1 (left), Graph 2 (middle), Graph 3 (right), the answer is Graph 1 and Graph 3.