Quadratic Equation Worksheet - Completing The Square Page 7
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F
T
E
For a road covered with dry, packed snow, the
OCUS ON
89.
RAFFIC
NGINEERING
P
EOPLE
formula for a car’s stopping distance given in Example 4 becomes:
2
d = 0.08s
+ 1.1s
Show that, in snowy conditions, a driver cannot safely round the corner in
Example 4 when traveling at the calculated speed limit of 30 miles per hour.
What is a safe speed limit if the road is covered with snow?
90.
S
Jackie Joyner-Kersee won the women’s heptathlon during the 1992
PORTS
Olympics in Barcelona, Spain. Her throw in the shot put, one of the seven events
in the heptathlon, can be modeled by
2
y = º0.0241x
+ x + 5.5
where x is the shot put’s horizontal distance traveled (in feet) and y is its
JACKIE JOYNER-
corresponding height (in feet). How long was Joyner-Kersee’s throw?
became
KERSEE
one of the greatest female
F
In firefighting, a good water stream can be modeled by
91.
IREFIGHTING
athletes in history despite
having severe asthma as a
2
y = º0.003x
+ 0.62x + 3
child and as an adult. She
has won six Olympic medals:
where x is the water’s horizontal distance traveled (in feet) and y is its
three gold, one silver, and
corresponding height (in feet). If a firefighter is aiming a good water stream at
two bronze.
a building’s window 25 feet above the ground, at what two distances can the
firefighter stand from the building?
C
You have 240 feet of
92.
ORRALS
wooden fencing to form two adjacent
rectangular corrals as shown. You
w
want each corral to have an
area of 1000 square feet.
L
L
4
a.
Show that w = 80 º
¬.
Not drawn to scale
3
b.
Use your answer from part (a) to find the possible dimensions of each corral.
P
You are taking a pottery class. As an assignment, you are given
93.
OTTERY
a lump of clay whose volume is 200 cubic centimeters and asked to make a
cylindrical pencil holder. The pencil holder should be 9 centimeters high and
have an inner radius of 3 centimeters. What thickness x should your pencil holder
have if you want to use all the clay? (Hint: The volume of clay equals the
difference of the volumes of two cylinders.)
3 cm
x cm
Not drawn to scale
3 cm
x cm
9 cm
x cm
x cm
Pencil holder
Top view
Side view
When a gray kangaroo jumps, its path through the air
94.
BIOLOGY
CONNECTION
can be modeled by
2
y = º0.0267x
+ 0.8x
where x is the kangaroo’s horizontal distance traveled (in feet) and y is its
corresponding height (in feet). How high can a gray kangaroo jump? How
far can it jump?
288
Chapter 5 Quadratic Functions
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