Question

suppose that an object travels from one point in space to another. make a comparison between the displacement and the distance traveled. the displacement is either greater than or equal to the distance traveled. the displacement is always equal to the distance traveled. the displacement is either less than or equal to the distance traveled. the displacement can be either greater than, smaller than, or equal to the distance traveled. question 10 (1 point) saved when is the average velocity of an object equal to the instantaneous velocity? always never only when the velocity is constant only when the velocity is increasing at a constant rate

Explanation:

• For the first question:
• Distance is the total path length an object travels. Displacement is the straight - line distance from the initial to the final position (a vector quantity).
• If an object moves in a straight line without changing direction, displacement equals distance. If it changes direction (e.g., moves back and forth), displacement is less than distance. So displacement is either less than or equal to distance.
• For the second question:
• The formula for average velocity is \(v_{avg}=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the displacement and \(\Delta t\) is the time interval.
• Instantaneous velocity is the velocity at a particular instant. When velocity is constant (\(v = \frac{x - x_0}{t - t_0}\) and \(v\) does not change with time), the average velocity over any time interval is equal to the instantaneous velocity. If velocity is changing (either increasing, decreasing, or in a non - uniform way), \(v_{avg}

eq v_{inst}\) in general.

Answer:

• First question: The displacement is either less than or equal to the distance traveled.
• Second question: only when the velocity is constant.