Diving Physics and Motion Concepts

The video tutorial explains a physics problem involving a cliff diver jumping from a height of 85 feet with an initial downward velocity of -5 feet per second. The acceleration due to gravity is -32 feet per second squared. The tutorial guides through setting up the problem, defining variables, calculating average velocity, and solving a quadratic equation to find the time the diver is in the air before hitting the water. The final result is that the diver is in the air for approximately 2.15 seconds.

What is the initial height from which the cliff diver jumps?

• 75 feet

• 85 feet

• 95 feet

• 105 feet

What is the initial vertical velocity of the diver?

• 10 feet per second upward

• 10 feet per second downward

• 5 feet per second downward

• 5 feet per second upward

What is the acceleration due to gravity in this problem?

• 32 meters per second squared

• 9.8 feet per second squared

• 32 feet per second squared

• 9.8 meters per second squared

What variable is used to represent the time the diver is in the air?

• v

• t

• a

• d

How is the diver's final velocity calculated?

• Initial velocity plus acceleration times time

• Initial velocity times acceleration

• Initial velocity minus acceleration times time

• Acceleration times time

What is the formula for average velocity in this context?

• Average of initial and final velocities

• Twice the initial velocity

• Initial velocity minus final velocity

• Initial velocity plus final velocity

What is the distance the diver travels?

• 100 feet upward

• 100 feet downward

• 85 feet downward

• 85 feet upward

What type of equation is used to solve for the time 't'?

• Linear equation

• Quadratic equation

• Exponential equation

• Logarithmic equation

What is the correct formula to solve the quadratic equation in this problem?

• x = (-b ± √(b² + 4ac)) / 2a

• x = (b ± √(b² + 4ac)) / 2a

• x = (-b ± √(b² - 4ac)) / 2a

• x = (b ± √(b² - 4ac)) / 2a

What is the time the diver is in the air before hitting the water?

• 4.15 seconds

• 3.5 seconds

• 2.15 seconds

• 1.5 seconds