Which statement is true?
The object’s acceleration is increasing.
The object’s velocity is increasing.
The object’s velocity is constant.
The object’s acceleration is increasing constantly.
Without any additional information or context, it is not possible to determine which statement is true. More information is needed about the object's motion, such as its position, speed, and any forces acting upon it.
The statement "The object's velocity is increasing" is true.
To determine which statement is true, we need to understand the definitions of acceleration and velocity and how they relate to each other.
Velocity refers to the rate at which an object changes its position. It not only takes into account the speed of the object but also its direction. Velocity is a vector quantity, meaning it has magnitude (speed) and direction.
Acceleration, on the other hand, refers to the rate at which an object's velocity changes over time. It measures how quickly an object's velocity is changing, whether that is an increase or a decrease. Acceleration is also a vector quantity.
Now, let's analyze each statement:
1. The object's acceleration is increasing: This means that the object's rate of change in velocity is increasing over time. In other words, the object is accelerating at an increasing rate.
2. The object's velocity is increasing: This statement implies that the object's speed is increasing, regardless of its direction.
3. The object's velocity is constant: This means that the object is moving with a constant speed and in a constant direction. In this case, the object's acceleration would be zero since there is no change in velocity.
4. The object's acceleration is increasing constantly: This statement suggests that the object's acceleration is constantly increasing over time, indicating a continuously accelerating object.
Based on these definitions and explanations, we can conclude that the statement "The object's velocity is increasing" is true. This means that the object's speed is increasing, regardless of its direction.