Which of the following statements is TRUE?
All objects with zero acceleration are not moving.
A negative velocity is always slower than a positive velocity.
An object with constant speed may or may not be accelerating.
An acceleration of less than one will eventually make an object stop.
Speed and distance can be negative which indicates that their direction is reversed.
An object with constant speed may or may not be accelerating.
To determine which of the statements is true, let's break down each statement individually:
Statement 1: All objects with zero acceleration are not moving.
This statement is false. An object with zero acceleration means that its speed is not changing, but it doesn't mean the object is not moving. The object could be moving at a constant speed.
Statement 2: A negative velocity is always slower than a positive velocity.
This statement is not necessarily true. The magnitude of a negative velocity is equal to the magnitude of the positive velocity. The only difference is the direction. So, a negative velocity can have the same speed as a positive velocity, but in the opposite direction.
Statement 3: An object with constant speed may or may not be accelerating.
This statement is false. An object with a constant speed is not accelerating. Acceleration refers to the change in velocity, and if the speed is constant, the velocity is not changing, hence there is no acceleration.
Statement 4: An acceleration of less than one will eventually make an object stop.
This statement is false. The acceleration alone does not determine whether an object will eventually stop. It depends on other factors such as the initial velocity, the friction acting on the object, and other external forces. An object with an acceleration of less than one could continue moving indefinitely if there are no opposing forces.
Statement 5: Speed and distance can be negative, which indicates that their direction is reversed.
This statement is true. In physics, speed and distance can indeed be assigned a negative value. A negative speed indicates that the object is moving in the opposite direction of the reference direction, and a negative distance means the object has moved backward relative to the starting point or reference point.
In summary, the only true statement among the given options is statement 5: Speed and distance can be negative, which indicates that their direction is reversed.
The true statement among the given options is: An object with constant speed may or may not be accelerating.
Explanation:
- The statement "All objects with zero acceleration are not moving" is false. Objects with zero acceleration can still be in motion with a constant velocity.
- The statement "A negative velocity is always slower than a positive velocity" is false. The magnitude of velocity determines the speed, not the sign. Negative velocity indicates motion in the opposite direction.
- The statement "An acceleration of less than one will eventually make an object stop" is false. An object can have a non-zero acceleration of less than one and never come to a stop if other factors are involved.
- The statement "Speed and distance can be negative, which indicates that their direction is reversed" is false. Speed and distance are scalar quantities, not vectors, so they cannot be negative. However, velocity and displacement, which are vector quantities, can have negative values to indicate the direction of motion.