Which one of the following situations is not possible?
A body travels with a constant acceleration and a time-varying velocity.
A body travels with a northward velocity and a northward acceleration.
A body travels with a northward velocity and a southward acceleration.
A body has zero velocity and non-zero acceleration.
A body travels with a constant velocity and a time-varying acceleration.
Impossible for a body to travel with a constant velocity and a time-varying acceleration.
Solve and submit
A body travels with a constant velocity and a time-varying acceleration.
To determine which of the given situations is not possible, we need to analyze each statement and understand the basic principles of velocity and acceleration.
1. A body travels with a constant acceleration and a time-varying velocity:
This situation is possible. When a body has a constant acceleration, its velocity will change over time but in a consistent manner.
2. A body travels with a northward velocity and a northward acceleration:
This situation is possible. When a body has a northward velocity and a northward acceleration, it means the body is moving in the same direction with increasing speed.
3. A body travels with a northward velocity and a southward acceleration:
This situation is not possible. If an object is moving in a northward direction and experiences a southward acceleration, the object's velocity and acceleration would be in opposite directions. It contradicts the given statement of having both a northward velocity and acceleration.
4. A body has zero velocity and non-zero acceleration:
This situation is possible. If a body has zero velocity and a non-zero acceleration, it means the body is undergoing a change in velocity, although it is initially at rest.
5. A body travels with a constant velocity and a time-varying acceleration:
This situation is not possible. Under the condition of constant velocity, the object's acceleration is zero. If the acceleration is time-varying, the velocity would change, which contradicts the given statement of constant velocity.
Therefore, the answer is: A body travels with a northward velocity and a southward acceleration.