Quadratic Equation Real Life Situations

What is the importance of quadratic equations in everyday life?

• They help model real-life situations

• They are not important in everyday life

• They are only relevant for professional mathematicians

• They are useful for solving geometry problems

What is the formula to find the roots of a quadratic equation?

• x = (-b ± √(b^2 - 4ac)) / (2a)

• x = (b ± √(b^2 - 4ac)) / (2a)

• x = (-b ± √(b^2 - 4ac)) / (2a)

• x = (-b ± √(b^2 + 4ac)) / (2a)

Which of the following is the standard form of quadratic equations?

• ax² + bx + c < 0, a≠0

• ax² + bx + c = 0, a≠0

• Ax + By = C

• y=mx+b

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds. When is the ball at ground level?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t² + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

• 7 seconds

• 6 seconds

• 3 seconds

• 8 seconds

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t² + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

• -16 seconds

• -6 seconds

• 0 seconds

• 6 seconds

A ball is being thrown off a building. The motion can be modeled by the quadratic equation, f(t) = -16t² + 30t + 60. At what time(s) is the ball at 70 feet? (Check all that apply).

• 0.938 seconds

• 1.441 seconds

• 0.434 seconds

• 3.089 seconds

• The ball never reaches 70 feet.