Chapter 4 Section 5.BSolving Quadratics by Finding Square Roots

In this assignment, you will be able to...

1.Solve a quadratic equation.

2. Model a dropped object with a quadratic function.

1.)

Solve the equation.

Answer:

2.)

Solve the equation.

Answer:

3.)

Solve the equation.

Answer:

4.)

Solve the equation.

Answer:s=13 or s=-

13

5.)

Solve the equation.

Answer:

Solve the equation.

6.)

Answer:

Solve the equation.

7.)

Answer:

Solve the equation.

8.)

Answer:x=2 or

x=6

A cliff diver dives off a cliff 40 feet above water. Write an equation given the

diver's height h (in feet) above water after t seconds. How long is the diver in

the air?

9.)

Answer:

Word problem, use calculator

About 1.6 seconds.

10.) An object is dropped from a building 200 feet above the ground. How long

until the object hits the ground?

Answer: About 3.54 seconds.

11.) On any planet, the height h (in feet) of a falling object t seconds after it is dropped

can be modeled by

where

is the object's initial height (in feet)and g is the acceleration (in feet per second squared) due to

gravity. Find the time it takes a rock dropped from a height of 150 feet to hit the surface on

Mars where

Answer: 5 seconds

12.) Graph the equation

Label the vertex and axis of symmetry

Answer:

13.) The path of a basketball travels along a path that is modeled by

where x is the time in seconds and y is the height. After how many seconds is

the ball at it's maximum height and what is that height?

Answer: 25 seconds18.5 feet

14.)Solve the equation

Answer: -1, 8/3

15.) Solve the quadratic equation. Label each step.