Simplifying Radical Expressions Worksheet With Answers Page 11
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3810-2 Simplifying Radical Expressions
34.
SOLUTION:
Starting from a stationary position, t
35. ROLLER COASTER
he velocity v of a roller coaster in feet per second at
the bottom of a hill can be approximated by
, where h is the height of the hill in feet.
a. Simplify the equation.
b. Determine the velocity of a roller coaster at the bottom of a 134-foot hill.
SOLUTION:
a .
b . To determine the velocity of the roller coaster at the bottom of the hill, substitute 134 for h in the equation
.
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
2
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 .
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