NAME
DATE
10-1
PERIOD
Word Problem Practice
Square Root Functions
1. PENDULUM MOTION The period T of
a pendulum in seconds, which is the time
for the pendulum to return to the point
of release, is given by the equation
L . The length of the
T = 1.11 √
pendulum in feet is given by L. Graph
this function.
4. CAPACITORS A capacitor is a set of
plates that can store energy in an
electric field. The voltage V required to
store E joules of energy in a capacitor
with a capacitance of C farads is given
2E
−
by V = C .
a. Rewrite and simplify the equation for
the case of a 0.0002 farad capacitor.
5
⎯⎯
V = 100 √E
Period (sec)
4
b. Graph the equation you found in part a.
3
2
350
1
300
0
4
8
12
16
20
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Voltage (volts)
Pendulum Length (ft)
2. EMPIRE STATE BUILDING The roof of
the Empire State Building is 1250 feet
above the ground. The velocity of an
object dropped from a height of h meters
2 gh ,
is given by the function V = √
where g is the gravitational constant,
32.2 feet per second squared. If an object
is dropped from the roof of the building,
how fast is it traveling when it hits the
street below?
200
150
100
50
0
2
4
6
8
10
Energy (joules)
c. How would the graph differ if you
wished to store E + 1 joules of energy
in the capacitor instead?
approximately 284 ft/s
translation of V = 100 √
E
one unit to the left
3. ERROR ANALYSIS Gregory is drawing
the graph of y = -5 √
x + 1 . He describes
the range and domain as {x x ≥ -1},
{ y y ≥ 0}. Explain and correct the
mistake that Gregory made.
d. How would the graph differ if you
applied a voltage of V + 1 volts
instead?
The range is actually {y y ≤ 0}
because the graph has been
reflected across the x-axis.
Chapter 10
250
translation of V = 100 √
E
one unit down
9
Glencoe Algebra 1
Lesson 10-1
√