When an object falls faster, its air resistance ______.Multiple choice question.increasesdecreasesremains constant

The correct answer is increases.

Explanation:

When an object is falling through the air, it experiences two main forces: the force of gravity, which pulls it downward, and air resistance (also known as drag), which acts upward against the motion of the object. As the object accelerates and falls faster, the velocity of the object increases, leading to a higher air resistance. This increase in air resistance occurs because the drag force is typically proportional to the square of the object's velocity.

Mathematically, the drag force $F_d$ can be expressed as:

$F_d = \frac{1}{2} \rho v^2 C_d A$

Where:

• $\rho$ = air density
• $v$ = velocity of the object
• $C_d$ = drag coefficient
• $A$ = cross-sectional area of the object

Thus, with an increase in the falling speed $v$, the air resistance $F_d$ increases as well. Therefore, as an object falls faster, its air resistance increases.