AIgebra II
Name
Per
Square Root Application Problems
1. A rectangular shelf is ÿ cm byÿ cm. Find its area,
......
.......
Y,ÿIÿ fÿ,. ;ÿ J"ÿ
.......
tÿ
,4
\
2. A freely falling object hit the ground in lÿa5 seconds. It fell h feet. Use the formula
h -- 16t2to find h in terms of a. ÿ ,ÿ I tfÿ
'ÿ!!ÿ ÿ ÿ'ÿ
...... 2 .......... .ÿ. .......... };
d
3. The formula a = Tÿrelates the acceleration aof a moving object to the distance dit moves in
the time t. Solve the formula for tand rationalize the denominator.
..........
i
.......
',ÿ ÿ ÿ
,ÿ"ÿ iÿ
I
4. The time t in ÿSÿconds for a swinging pendulum ÿ6 complete one full cycle is given by the
function t = .2ÿ, where I is the length of the pendulum in cm. How long is a full cycle if the
pendulum is 10 cm long?
ÿÿ, ÿ!ÿ ....... k
5. The velocity v (in feet per second) of a jet can be approximated by the model v = 8.8ÿAL--
where A is the area of the wings (in square feet) can L is the lift (in Newtons). Find the
velocity of a jet with a wing area of 5.5 × 10s square feet and a lift of 1.4 × 10ÿ Newtons.
.ÿ .ÿ,..
....
............
- *ÿ ÿi °>
!ÿ-,ÿ. In an amusement park ride called the Sky Flyer, a rider suspended by a cable swings back and
forth like a pendulum from a tall tower. A rider's maximum speed v (in meters per second)
occurs at the bottom of each swing and can be approximated by v = ÿ/ÿh where h is the height
(in meters) at the top of each swing and g is the acceleration due to the graviW(g ÿ 9.8m / secz)
If a rider's maximum speed was 15 meters per second, what was the rider's height at the top of
the swing?
ÿÿ I c:l, (.ÿ lJÿ
iSi Biologists have discovered that the shoulder height h (in centimeters) of a male African
elephant can be modeled by h = 62.5ÿ + 75.8 where t is the age (in years) of the elephant.
Compare the ages of two elephants, one with a shoulder height of 150 centimeters and the
other with a shoulder height of 250 centimeters.
!ÿiÿ
I:ÿiÿ0 ::ÿ ÿ.ÿ
:!- ii: ÿ
, ÿ>ÿ!>
'
j
J
:ÿ ÿ ÿ ,
....
, ,; ÿ!ÿ ÿ ; iÿ ÿ ÿ ,!ÿ ÿ.
.ÿ ¢
ÿto': i
"
'
..
, ,ÿ i ÿ . j,ÿ,d ;
'
,:.ÿ. 9. An object is launched upward from ground level and reachÿs a maximum height of h feet. The
initial velocity v (in feet per second) of the object is given by the function v = 8ÿ. What is the
approximate maximum height of an object that is launched upward with an initial velocity of 110
per second?
I
Io
,,{ -- ?},,{
'
,
......................
!i ,ÿ. Your friend releases a weather balloon 50 feet from you. When the balloon is at the height
h, the distance d between you and the balloon is given by: d -- ,}2500 + hÿ where h and d are
measured in feet. To the nearest foot, what is the height of the balloon when the distance
between you and the balloon is 100 feet?
/
{.>,'
....
:'.'; i / ft/