Question

an object at rest corresponds with graph
an object moving in the positive direction with a constant speed corresponds with graph
an object moving in the negative direction with a constant speed corresponds with graph
an object that is accelerating in the positive direction, starting from rest corresponds with graph

Explanation:

Step1: Analyze object at rest

An object at rest has zero velocity. Graph B shows velocity \(v = 0\) over time \(t\), so an object at rest corresponds to Graph B.

Step2: Analyze object moving in positive - direction with constant speed

A positive - constant speed means a positive non - zero constant velocity. Graph A shows a positive constant value of \(v\) over time \(t\), so an object moving in the positive direction with a constant speed corresponds to Graph A.

Step3: Analyze object moving in negative - direction with constant speed

A negative - constant speed means a negative non - zero constant velocity. Graph C shows a negative constant value of \(v\) over time \(t\), so an object moving in the negative direction with a constant speed corresponds to Graph C.

Step4: Analyze object accelerating in positive direction starting from rest

Acceleration means a change in velocity over time. Starting from rest (\(v = 0\) initially) and accelerating in the positive direction gives a linearly increasing positive velocity. Graph D shows a linearly increasing positive value of \(v\) starting from \(v = 0\), so an object that is accelerating in the positive direction, starting from rest corresponds to Graph D.

Answer:

• An object at rest corresponds with Graph B
• An object moving in the positive direction with a constant speed corresponds with Graph A
• An object moving in the negative direction with a constant speed corresponds with Graph C
• An object that is accelerating in the positive direction, starting from rest corresponds with Graph D