Question

identify the independent variable. the distance an object falls after a given amount of time.

Explanation:

Step1: Understand Independent Variable

An independent variable is the one that is manipulated or is the cause, and it doesn't depend on other variables in the context. Here, we are looking at the distance an object falls after a given amount of time.

Step2: Analyze Time and Distance

Time is the variable that we can consider as the input or the variable that we can control (or it's the variable that passes independently), and distance depends on the time elapsed (since the distance an object falls is a function of time, like in free - fall equations \(d = \frac{1}{2}gt^{2}\) where \(t\) is time and \(d\) is distance). So time is the independent variable as it is the variable that determines the value of distance (the dependent variable).

Answer:

time