which of these dot diagrams best describe the motion of a free-falling object that is dropped from rest? tap…

which of these dot diagrams best describe the motion of a free-falling object that is dropped from rest? tap to select or deselect an answer. diagram a diagram b diagram c

which of these dot diagrams best describe the motion of a free-falling object that is dropped from rest? tap to select or deselect an answer. diagram a diagram b diagram c

Answer

Explanation:

Step1: Recall Free - Fall Motion

A free - falling object (dropped from rest) accelerates due to gravity. The velocity of a free - falling object starting from rest is given by (v = gt), where (g) is the acceleration due to gravity and (t) is time. Since the velocity is increasing with time, the distance covered in each successive time interval will be greater. The distance (d) fallen by a free - falling object starting from rest is given by (d=\frac{1}{2}gt^{2}), which means the distance increases non - linearly with time, and the spacing between the dots (representing position at equal time intervals) should increase as time progresses (as the object falls down).

Step2: Analyze the Diagrams

  • Diagram A: The dots are getting closer together as we move from left to right. This would represent an object slowing down, which is not the case for a free - falling object dropped from rest.
  • Diagram B: The dots are evenly spaced. This represents an object moving with a constant velocity (uniform motion), not accelerated motion like free fall.
  • Diagram C: The dots are getting further apart as we move from left to right. This represents an object whose distance covered in equal time intervals is increasing, which is consistent with the motion of a free - falling object (since its velocity is increasing, (v = gt), so in each subsequent time interval (\Delta t), the distance (d=v\Delta t) will be larger as (v) is larger).

Answer:

Diagram C