The video tutorial explains a rocket launch scenario where the height of the rocket is given by a function of time. It identifies the independent variable (time, T, in seconds) and the dependent variable (height, H, in meters). The tutorial emphasizes understanding the relationship between these variables and discusses the use of function notation. The key takeaway is recognizing how the height depends on time, making T the independent variable and H the dependent variable.

What is the initial height of the rocket at T equals 0 seconds?

• 4.90 meters

• 287 meters

• 400 meters

• 0 meters

In the function H(T), what does the variable T represent?

• Time in seconds

• Height in meters

• Distance in kilometers

• Speed in meters per second

Which of the following is the independent variable in the function H(T)?

• H, the height

• T, the time

• C, the constant

• None of the above

What is the unit of the dependent variable in the function H(T)?

• Seconds

• Kilometers

• Meters

• Minutes

Why is H considered the dependent variable in the function H(T)?

• Because it is always constant

• Because it depends on the time T

• Because it is the input variable

• Because it is measured in seconds