25. Which of the following situations is impossible?*A. An object has velocity directed east and acceleration directed west.B. An object has velocity directed east and acceleration directed east.C. An object has velocity zero velocity but non-zero acceleration.D. An object has constant non-zero velocity and changing acceleration.
Question
- Which of the following situations is impossible?*A. An object has velocity directed east and acceleration directed west.B. An object has velocity directed east and acceleration directed east.C. An object has velocity zero velocity but non-zero acceleration.D. An object has constant non-zero velocity and changing acceleration.
Solution
The situation that is impossible is D. An object has constant non-zero velocity and changing acceleration.
Here's why:
A. An object has velocity directed east and acceleration directed west. This is possible. It describes an object moving east but slowing down (because the acceleration, or change in velocity, is in the opposite direction).
B. An object has velocity directed east and acceleration directed east. This is also possible. It describes an object moving east and speeding up (because the acceleration is in the same direction as the velocity).
C. An object has zero velocity but non-zero acceleration. This is possible. It describes an object that is momentarily at rest but is accelerating or decelerating (for example, a ball thrown up in the air has zero velocity at its highest point, but it is still subject to acceleration due to gravity).
D. An object has constant non-zero velocity and changing acceleration. This is impossible. If an object has a constant velocity, it means that its speed and direction are not changing. But if acceleration is changing, it means that the object's velocity is changing, which contradicts the condition of constant velocity. Therefore, this situation is impossible.
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