Simplifying Radical Expressions Worksheet With Answers (Page 12 of 38) in pdf

Simplifying Radical Expressions Worksheet With Answers Page 12

10-2 Simplifying Radical Expressions

The roller coaster will have a velocity of about 92.6 ft/sec at the bottom of a 134-foot hill.

36. CCSS PRECISION When fighting a fire, the velocity v of water being pumped into the air is modeled by the

function

, where h represents the maximum height of the water and g represents the acceleration due to

gravity (32 ft/s

a. Solve the function for h.

b. The Hollowville Fire Department needs a pump that will propel water 80 feet into the air. Will a pump advertised

to project water with a velocity of 70 feet per second meet their needs? Explain.

c. The Jackson Fire Department must purchase a pump that will propel water 90 feet into the air. Will a pump that

is advertised to project water with a velocity of 77 feet per second meet the fire department’s need? Explain.

SOLUTION:

a .

b . To determine the height of the water, substitute 70 for v in the function

A pump with a velocity of 70 feet per second will pump water only to a maximum height of 76.6 feet. Therefore, this

pump will not meet the fire department’s need.

c . To determine the height of the water, substitute 77 for v in the function

A pump with a velocity of 77 feet per second will pump water to a maximum height of 92.6 feet. Therefore, this

pump will meet the fire department’s need.

Simplify each expression.

37.

SOLUTION:

eSolutions Manual - Powered by Cognero

Page 12

Simplifying Radical Expressions Worksheet With Answers Page 12