Factoring and Velocity in Physics

The video tutorial explains a scenario where debris from an explosion rises with an initial velocity of 96 feet per second. It introduces a quadratic equation to calculate the height of the debris at any given time. The tutorial demonstrates how to calculate the height after four seconds and verifies the result using a calculator. It then explains how to factor the polynomial equation completely and verifies that the factored form yields the same result as the original equation. The tutorial aims to enhance understanding of quadratic equations and factoring techniques.

What is the initial velocity of the debris caused by the explosion?

• 96 feet per second

• 120 feet per second

• 80 feet per second

• 100 feet per second

Which equation is used to determine the height of the debris over time?

• H = 80T - 10T^2

• H = 100T - 20T^2

• H = 120T - 30T^2

• H = 96T - 16T^2

What is the height of the debris four seconds after the explosion?

• 128 feet

• 150 feet

• 100 feet

• 200 feet

What is the result of 96 multiplied by 4?

• 384

• 400

• 360

• 420

What is the greatest common factor of the terms in the polynomial equation?

• 16T

• 8T

• 4T

• 32T

What is the factored form of the equation H = 96T - 16T^2?

• H = 8T(12 - T)

• H = 16T(6 - T)

• H = 4T(24 - T)

• H = 32T(3 - T)

What is left when 16T is factored out from 96T?

• 6

• 8

• 12

• 4

What is the height of the debris when substituting T = 4 in the factored form?

• 100 feet

• 150 feet

• 128 feet

• 200 feet

What is the value of 16 multiplied by 4?

• 64

• 80

• 72

• 96

What is the result of 16 x 4 x (6 - 4)?

• 128

• 100

• 200

• 150