In a time-position graph where the velocity of an object is constant, the graph will display a straight line. The key observation here is related to the slope of that line.
- The slope of the line represents the velocity of the object.
- If the slope is positive, the object is moving in a positive direction at a constant velocity.
- If the slope is negative, the object is moving in a negative direction at a constant velocity.
- If the slope is equal to zero, the object is stationary.
Thus, among the options provided, the correct statement is:
- The slope of the line is equal and the object will be in motion.
However, to clarify, the correct phrase should specify that if the slope is constant (and not equal to zero), the object is in motion with a consistent velocity (which can be positive or negative). If none of these statements specify the constant nature of the slope and conclude that the object is in motion, the most accurate is the one indicating that the slope is constant and indicates motion.