Solving Quadratic Equations in Real World Scenarios

The video tutorial guides students through solving a quadratic word problem involving a rocket's height over time. It covers reading and annotating the problem, understanding the equation and variables, solving for time using factoring methods, and calculating the rocket's height at specific times. The tutorial emphasizes the relationship between time and height, illustrating the concept of a quadratic function.

What is the initial height of the rocket above the lake?

• 90 feet

• 80 feet

• 70 feet

• 60 feet

What does the variable T represent in the equation?

• Distance in meters

• Time in seconds

• Speed in miles per hour

• Height in feet

What does H(T) represent in the given function?

• Speed in miles per hour

• Distance in meters

• Height in feet

• Time in seconds

What is the input of the function H(T)?

• Speed

• Distance

• Time

• Height

What is the output of the function H(T)?

• Speed

• Distance

• Time

• Height

What is the first step in solving the quadratic equation to find T?

• Add 128 to both sides

• Divide both sides by 16

• Multiply both sides by 16

• Subtract 128 from both sides

What is the GCF of the terms in the quadratic equation?

• -64

• 64

• 16

• -16

How many seconds does it take for the rocket to reach 128 feet?

• Both 1 and 3 seconds

• 3 seconds

• 2 seconds

• 1 second

What is the height of the rocket at zero seconds?

• 64 feet

• 80 feet

• 144 feet

• 128 feet

What is the height of the rocket at two seconds?

• 80 feet

• 160 feet

• 128 feet

• 144 feet