Question

1. what is the effect of air resistance on the acceleration of falling objects? 23. consider these measurements: 10 m, 10 m/s, 10 m/s². which is a measure of speed, which is a measure of distance, and which is measure of acceleration?

Explanation:

Step1: Analyze air - resistance effect

When an object falls, in the absence of air resistance, it experiences a constant acceleration due to gravity ($g$). When air resistance acts, it opposes the motion of the falling object. According to Newton's second law $F = ma$, the net force acting on the falling object is $F_{net}=mg - F_{air}$, where $m$ is the mass of the object, $g$ is the acceleration due to gravity, and $F_{air}$ is the air - resistance force. As $F_{air}$ acts in the opposite direction of motion, the net force is reduced, and thus the acceleration $a=\frac{mg - F_{air}}{m}=g-\frac{F_{air}}{m}$ is less than the acceleration due to gravity $g$. So air resistance decreases the acceleration of falling objects.

Step2: Identify physical quantities by units

The unit of distance is the meter ($m$), so $10\ m$ is a measure of distance. The unit of speed is meters per second ($m/s$), so $10\ m/s$ is a measure of speed. The unit of acceleration is meters per second squared ($m/s^{2}$), so $10\ m/s^{2}$ is a measure of acceleration.

Answer:

1. Air resistance decreases the acceleration of falling objects.
2. $10\ m$ is a measure of distance, $10\ m/s$ is a measure of speed, $10\ m/s^{2}$ is a measure of acceleration.