
CBR™
5
T
EX
CBR
AS
I
NSTRUME
)
)
NT
)
S
TRIGGER
85-86
92

T
EX
CBR
AS
I
NSTRUME
)
)
NT
)
S
TRIGGER
85-86
92
Texas Instruments
Calculator-Based Ranger™ (CBR™)
CBR
4 AA
Texas Instruments
Texas Instruments
Texas Instruments
Texas Instruments
Texas Instruments Incorporated ©1997
Incorporated
Texas Instruments Incorporated,
7800 Banner Dr, M/S 3918,
Manager, Business Services.
Texas Instruments
Dallas, TX 75251, Attention:

T
EX
CBR
AS
I
NSTRUME
)
)
NT
)
S
TRIGGER
85-86
92
CBR 2
CBR
( 1 13
( 2 17
( 3 21
( 4 25
( 5 29
1 2 3 4
33
6
CBR 37
RANGER
CBR
CBL CBL 39
38
40
42
43
44
RANGER
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 1

CBR
CBR
CBR
CBR TI
CBR
TM
(Calculator-Based RangerTM)
TI-82 TI-83 TI-85/CBL TI-86 TI-92
RANGER
RANGER
RANGER
2 CBR
CBR
32
TM
CBR
13-
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR
¤
200 0.5
6 1.5 18
T
EX
CBR
AS
I
NSTRUME
)
)
NT
)
S
TRIGGER
CBL
85-86
92
2.25 7.5
TI
CBR TI
CBR
CBR RANGER 4 AA 5
RANGER
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 3

CBR 1 2 3
CBR
1
2
CBR CBR
TI
CBR RANGER CBR
TI-82 TI-83 TI-85/CBL TI-86 TI-92
Ÿ ¥ d › Ÿ ¥ ¡
CBR CBR
4 CBR
RECEIVING TI-92
RECEIVING TI-92
CBR CBR DONE
CBR CBR
RANGER CBR
17,500
TI-Graph Link™
CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR 1 2 3
3
RANGER
TI-82 TI-83 TI-85/CBL TI-86 TI-92
^ ^ A Ÿ [VAR-LINK]
RANGER RANGER RANGER
› › ¨ ›
›
MAIN MENU
SETUP/SAMPLE ➞
SET DEFAULTS ➞
APPLICATIONS ➞
PLOT MENU ➞
TOOLS ➞ CBR
QUIT
SET DEFAULTS SETUP › START
NOW
›
CBR TI
CBR
QUIT RANGER QUIT RANGER
CBR CBR
CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 5

CBR
CBR CBR
CBR CBR
L1 L2 L3 L4
CBR
❶ REALTIME = NO RANGER
❷ L1 L2 L3
L3n=
+ L2n)/2 - (L2n+ L2
n+1
L1
- L1
n+1
n
n-1
)/2
(L2
❸ L3 L1
L4
CBR 5
CBR CBR CBR 0.5 1.5
CBR CBR
CBR CBR
0.5
12 6 6
12 6 6
CBR CBR 6 19
6 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR 10°
CBR
CBR CBR
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
CBR 7

RANGER
TIME 1 99
REALTIME = YES TIME 15
TIME CBR TIME = 1 CBR
1.75 5.5
RANGER SETUP
BEGIN ON: [ENTER] ›
BEGIN ON: [TRIGGER] CBR CBR ¤
CBR CBR
CBR ¤ CBR ›
BEGIN ON: [TRIGGER] REALTIME = YES
MATCH
BEGIN ON: DELAY › 10
(Trigger)
¤
¤ BEGIN ON: [ENTER] BEGIN ON: DELAY
REALTIME = NO ¤
TOOLS GET CBR DATA
PLOT MENU REPEAT SAMPLE SETUP START NOW
8 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

RANGER
LIGHT
SETUP
38
REALTIME=NO
CBR PLOT MENU PLOT TOOLS SMOOTH DATA
CBR
CBR REALTIME = NO REALTIME = YES
7
CBR 0.5
CBR
REALTIME = YES
DISTANCE MATCH VELOCITY MATCH BALL BOUNCE
REALTIME = NO
40-41
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 9

REALTIME=YES
REALTIME=YES
REALTIME=YES CBR
REALTIME=YES CBR
RANGER
RANGER 0.125
REALTIME=NO
REALTIME=NO
REALTIME=YES
0.080
9
CBR 11
REALTIME=NO CBR
0.005
CBR CBR
CBR
CBR
RANGER TOOLS TOOLS GET CBR DATA
TI
11
10 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR
CBR SETUP
REALTIME=NO
BEGIN ON=[TRIGGER]
CBR RANGER
CBR REALTIME=NO
❶ RANGER
❷ REALTIME=NO CBR
❸ CBR CBR
❹ RANGER TOOLS TOOLS GET CBR DATA
TRANSFERRING
❺ › PLOT MENU QUIT
➏ RANGER MAIN
MENU
TOOLS TOOLS GET CALC DATA
› L1 L2 L3 L4 L5
❼ CBR
PLOT MENU RANGER
RANGER
TI-85 RANGER LINK
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 11

RANGER
RANGER
TRACE TRACE TI-85
RANGER
Y =
RANGER
L1 L2 Plot2 L1 L3
TI-Graph Link
CBR RANGER
œ
RANGER QUIT Plot1
CBR CBL RANGER
CBR CBL 39
36
40-41
12 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

MATCH
1
1. 1
CBR 1
2. y
3.
4. CBR
5. CBR
6. y
7. y/3.3
8. y/1
✔
✔ CBR
✔
TI ViewScreen™
TI ViewScreen
CBR
CBR
6-12
9.
10.
11.
12.
13. 3 1.5
14. 0.5 1
0.5 1 x 60 1 =
30
30 1 x 60 1 =
1800
1800 1 x 1 1000
= 0.18
96 60
15. ∆y
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 13

1
❶ CBR
CBR 4 12 0.5 1.5
7
❷ RANGER 5
❸ APPLICATIONS METERS
❹ APPLICATIONS DISTANCE MATCH DISTANCE MATCH
❺ › 1 2
➏ ›
❼
➑ 3
➒ › OPTIONS SAME MATCH
4 5 6
14 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

1
DISTANCE MATCH
❶ › OPTIONS NEW MATCH 7 8
❷ 9 10
❸ ›
❹ 11 12
❺ › OPTIONS NEW MATCH
❻ 13 14 15
❼ › OPTIONS QUIT
RANGER
DISTANCE MATCH VELOCITY MATCH
MATCH 36
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 15

1
1. x
y
2. CBR
3.
4.
5.
6.
7.
8. 1 1
9.
10.
11.
12.
13.
14. 13
15.
16 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

✔
✔ CBR
✔
✔
✔ TI ViewScreen
2
1.
2. TRACE
6-12
(v=0)
3.
4.
5. m
m
m
6. b y y = 2x + 0
7.
= 20
(y = 2 x 10 + 0) 1 y =
m = 2 10 (y)
120
t1t
2
a = 0
a =
∆t=0
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
∆v
∆t
F=ma
s t1t
t
2
s = ∫vdt
t
1
2
CBR 17

2
❶ CBR 0.5 1.5 CBR CBR
7
❷ 1
❸ RANGER 5
❹ SETUP/SAMPLE
REALTIME: NO
TIME(s): 5 SECONDS
DISPLAY: DISTANCE
BEGIN ON: [ENTER]
SMOOTHING: LIGHT
UNITS: METERS
38
❺ START NOW
➏ ›
TRANSFERRING
❼
➑ 1
18 CBR
TI
TEXAS INSTRUMENTS INCORPORATED © 1997

2
❶ 2 x
y
0.957 1.01
1
❷ 3 4
❸ 1.5 1
1.5 ∆
❹ y = mx + b m
∆
∆
y b
m 2
❺ 5 6 7
t1t
2
= v∆t = v(t
2
–
2
–
2
- t1)
1
1
y2- y
x2- x
1
1
x
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 19

2 ____________
1.
2. m
1 xxx xxx xxx
1.5
2
2.5
3
3.5
4
4.5
5
3.
4.
5. = 2 = 4 ∆ ∆
m
6. y = mx + b b
m b y = mx + b
7. 10
1
20 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

✔
✔ CBR
✔ CBR
✔
✔
✔
✔
✔ TI ViewScreen
3
1.
2.
3. T = 10
10
4. 2 4
≥ 5
6-12
(SHM) SHM
T
A
T
L
√
_
g
T = 2π
L g T
5. x
6. 10
7. 5 =
8. ƒ = 1/T T
9.
L
10. A = 1 1/4
11.
12.
ƒ
ƒ =1—
T
TEXAS INSTRUMENTS INCORPORATED © 1997
ƒ (Hz) T
TI
13.
14. T L g
L2 L3
CBR 21

3
❶ CBR
CBR 0.5 1.5
7
❷ CBR 1
2
❸
3 4
❹ RANGER 5
CBR MAIN MENU SETUP/SAMPLE
❺ ›
REALTIME: NO
TIME(S): 10 SECONDS
DISPLAY: DISTANCE
BEGIN ON: [ENTER]
SMOOTHING: LIGHT
UNITS: METERS
➏
❼ ›
TRANSFERRING
38 START NOW
22 CBR
➑ 5
TI
TEXAS INSTRUMENTS INCORPORATED © 1997

3
2
MAIN MENU SETUP/SAMPLE SETUP 10 5
6 7
7
ƒ =1—
T ƒ (Hz)
T
8
3 4
5 9
2 10
5
PLOT MENU VELOCITY-TIME 11 12 13
6
14
S = A sin (wt + ) S A
w t w T w = 2 /T
A w Y= L1 L2
A w TI-83 TI-86
L2 L3
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
CBR 23

1. CBR
2.
3.
4. 2
5.
1
3
6.
7.
8.
9.
10.
11.
12.
13.
5 10
14.
24 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

4
2.
y = 0
3. CBR
BALL BOUNCE
A
✔
✔ CBR
✔ CBR
✔ 9
✔ TI ViewScreen
¤
Y = A(X-H)2+ K
6-12
CBR
y=0 CBR
4. x
7. A = 1
8. A < -1
9.
12. A
A
y = hp
x
y
h
p
x
A
-9.8
2
-32
2
A -4.9
2
-16
2
1.
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
x = 0 y = h y
PLOT TOOLS SELECT
DOMAIN
MAIN MENU
QUIT L1 L2
CBR 25

❶
4
CBR 0.5 1.5
7
❷ RANGER 5
❸ APPLICATIONS METERS FEET
❹ APPLICATIONS BALL BOUNCE BALL BOUNCE
❺ › RANGER TRIGGER CBR
➏ ¤ CBR
CBR
CBR
❼ ›
1 2
➑ BALL BOUNCE 3 4
26 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

4
❶ › PLOT MENU PLOT TOOLS SELECT DOMAIN
›
›
❷ TRACE 5
❸ › PLOT MENU MAIN MENU QUIT
❹ Y = A (X - H )
2
+ K œ Y=
Yn = A* (X - H )^2 + K
❺ Home 5 K H
1 A
➏ 6 7
❼ A = 2 0 -1 8 9
➑ A 8 A
❾ 10 11 12
❶
❷
❸
❹
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
CBR 27

4
1. x
y
2.
3. BALL BOUNCE
4.
5.
6. A = 1
7.
8.
9. A
A
A
A Yn
1
2
0
-1
10.
11. A
12. A
A
28 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

5
✔
✔ CBR
✔ CBR
✔
✔ 9
✔ 2 6
y = ax2+ bx + c
3.
4.
5.
6.
7. 0° 90°
s = 1/2 at 2+ vit + s
i
s t
✔
✔
✔ TI ViewScreen
6-12
a
v
i
s
i
y = ax2+ bx + c
c b 2a y
x CBR
b c 0.5
1.5 a
y = ax2+ bx + c
b c
L1 L2
= 90° a = 0° a
a
a
a
1.
2. CBR
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
CBR 29

5
❶ 1 15°
CBR CBR
CBR 0.5 1.5
7
❷ RANGER 5 MAIN MENU SETUP/SAMPLE
❸ ›
REALTIME: NO
TIME(S): 3 SECONDS
DISPLAY: DISTANCE
BEGIN ON: [ENTER]
SMOOTHING: LIGHT
UNITS: METERS
38
❹ START NOW ›
❺
➏ 2 3
❼ › PLOT MENU PLOT TOOLS SELECT DOMAIN
› ›
4 5
30 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

5
❶ 6
❷ 30¡ 2 6 6 30°
❸ 45¡ 60¡ 2 6
❹ 7
x = 0
x L1(1)→A L1-A→L1
❶ 0¡ 15¡ 30¡ 45¡ 60¡ 90¡
y = ax2+ bx + c
a b c
❷ a
❸ a
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 31

1.
2. x
5
y
3.
4.
5. 1 3
6.
7. 0¡ 90¡
32 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR
CBR
CBR
CBR
CBR
CBR
y x
AX2+ BX + C
RANGER REALTIME=NO
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 33

CBR
RANGER
x
2 2
Y=
CBR y x
CBR CBR y
CBR CBR y
x
x
CBR
CBR
6
6
6
CBR CBR
CBR CBR
CBR
34 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

V
average
d
2
d
1
=
∆
∆
t
1 t2
d=d2– d
t t2– t
1
=
1
V
instantaneous
v
v
A
average
A
instantaneous
t
1
∆d =
1
2
=
(
lim ∆d
=
∆
t➞0
t
∆
v=v2– v
∆
t t2– t
lim ∆v = dv
=
∆
t➞0
t
2
t=2
v(∆t)
Σ
t=1
=
()
∆
tdt
1 t2
1
=
1
()
∆
tdt
∆d =
)
d(s)
t=2
v(dt)
∫
t=1
s =
= ∆d = (d2-d1) = t
t
2
1
∆t
t
1 t2
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 35

education.ti.com
CBR CBL TI
CBR CBL TI
CBR CBR
CBR
Texas Instruments TI
CBR
36 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR
TIME= NO
L1 L2 L3 L4
CBR RANGER
L1
L2
L3
L4
L1 5 5 L2 5 5
REALTIME= YES REAL-
L5
RANGER SETUP CBR 38
CBR RANGER L5
40-41
RANGER
RANGER RANGER
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 37

RANGER
RANGER
RANGER
❶ RANGER MAIN MENU SETUP/SAMPLE
MAIN MENU START NOW
REALTIME: ➞ YES or NO
TIME (s): ➞ TOTAL TIME = 1-99 SECONDS (REALTIME=NO only)
DISPLAY: ➞ DISTANCE, VELOCITY, or ACCELERATION
BEGIN ON: ➞ [ENTER], [TRIGGER], or 10-SECOND DELAY
SMOOTHING: ➞ NONE, LIGHT, MEDIUM, or HEAVY
UNITS: ➞ METERS or FEET
❷ c b
❸ › c
1 2 c b
❹ c b START NOW
›
e › MAIN MENU
SET DEFAULTS
RANGER L5 L5 RANGER
RANGER
❶ RANGER MAIN MENU SET DEFAULTS
SETUP
❷
❸ START NOW ›
RANGER
RANGER CBR
38 CBR
40-41
TI
TEXAS INSTRUMENTS INCORPORATED © 1997

CBR CBL CBL
CBR CBL
CBR Texas Instruments CBL™ (Calculator-Based Laboratory™)
SONIC
CBR CBL
CBR CBR CBL CBL
CBL RANGER CBL
CBL CBR
CBL CBR
CBL REALTIME=YES CBR
CBR ¤
CBL {6,0} CBR
{6,0}➞L6:SEND L6
{6,3}➞L6:SEND L6
RANGER
CBL CBR RANGER
TI 36 CBL
CBL {6,3} CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR 39

0 {0}
11
1 {1,0}
1 {1,11, , ,0, }
0 (REALTIME=NO)
1 (REALTIME=NO)
2 (REALTIME=NO)
3 (REALTIME=NO)
0 (REALTIME=YES)
1 (REALTIME=YES) CBR ∆
2 (REALTIME=YES) CBR ∆
3 (REALTIME=YES) CBR ∆
4 (REALTIME=YES) CBR ∆
5 (REALTIME=YES) CBR ∆
6 (REALTIME=YES) CBR ∆
7 (REALTIME=YES) CBR ∆
0
1 (REALTIME=NO) d/dt
2 (REALTIME=NO) d2/dt
2
0
1
2 {2, ,0,0,0,0,0,0,0}
1
3 {3, , , ,0,0,0,0, , }
0.005-1500(0.1)
0.0001-0.005 0.005
1500<x<16000 1500
-1 REALTIME=YES
1-512 (REALTIME=NO) 1 512
0
1 ¤
7 10
0
1 (REALTIME=NO) 0
2 (REALTIME=NO) 0
1
0
1 (REALTIME=NO) 5 Savitzsky-Golay
2 (REALTIME=NO) 9 Savitzsky-Golay
3 (REALTIME=NO) 17 Savitzsky-Golay
4 (REALTIME=NO) 29 Savitzsky-Golay
5 (REALTIME=NO) 3
6 (REALTIME=NO) 5
7 (REALTIME=YES) REALTIME=YES
8 (REALTIME=YES) REALTIME=YES
9 (REALTIME=YES) REALTIME=YES
40 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

4 {4, #, , , }
#
0
4 4
0
13
0 CBR T
1
2
3
4 R=F+459.7
5 (REALTIME=NO) {5, , , , }
0
1, 2, 3, 11, 21
-1
0
1 d/dt
2 d2/dt
2
3
4 d/dt
5 d2/dt
2
1-512 GET
0-512 GET 0
6 {6, [, ]}
0 CBL
2
3
4
5 ID
6
n.nnnnn ID 5
0-6 6
7 {7}
10.rrrr ROM
0-99 0
0-2 0 OK 1 2
11
(1-9)
(0-2)
(0-9)
0-512 REALTIME=NO -1 REALTIME=YES
(0-2)
ID 6 6 ID 0.00000 5
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
0 1
1 2 3 4
0 5 1-512
0 1-512
CBR 41

CBR 4 AA CBL CBR
RANGER
CBR CBR
CBR
CBR
RANGER
CBR
CBR
MAIN MENU TOOLS CBR STATUS
OK REPLACE
CBR
42 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

CBR
CBR
RANGER
CBR
42
¤ CBR ¤
¤
CBR RANGER QUIT
CBR CBL
¤
LINK ERROR
MATCH
CBR CBR
CBR
CBR
QUIT
RANGER
17,500
CBR TI
DISTANCE
TI-83 DIST MATCH
CBR
6-12
CBR
CBR
42
CBR TI-85
CBR
RANGER
TI-92
TI
TEXAS INSTRUMENTS INCORPORATED © 1997
"CBL"
CBL CBR
TI-85
TI-85
CBR RANGER QUIT
CBR CBL CBR
RANGER
L1 L2 L3 L4 L5
CBR 43

TI
TI
TI TI TI
ti-cares@ti.com
education.ti.com
44 CBR
TEXAS INSTRUMENTS INCORPORATED © 1997
TI

RANGER
MAIN MENU
SETUP / SAMPLE
SET DEFAULTS
NO
YES
1-99
(REALTIME=NO)
DISTANCE
VELOCITY
ACCELERATION
[ENTER]
[TRIGGER]
DELAY
NONE
LIGHT
MEDIUM
HEAVY
APPLICATIONS
REALTIME=NO
PLOT MENU
REALTIME=YES
APPLICATIONS
UNITS
METERS
FEET
DISTANCE - TIME
VELOCITY - TIME
ACCELERATION - TIME
PLOT TOOLS
REPEAT SAMPLE
MAIN MENU
QUIT
SHOW PLOT
SELECT DOMAIN
REPEAT SAMPLE
MAIN MENU
QUIT
DISTANCE MATCH
VELOCITY MATCH
BALL BOUNCE
MAIN MENU
PLOT TOOLS
SELECT DOMAIN
SMOOTH DATA
PLOT MENU
DA
TA SMOOTHING
LIGHT
MEDIUM
HEAVY
NONE
METERS
FEET
OPTIONS
SAME MATCH
NEW MATCH
APPLICATIONS
MAIN MENU
QUIT
TOOLS
GET CBR DATA
GET CALC DATA
TOOLS
CBR STATUS
STOP/CLEAR CBR
MAIN MENU
QUIT
TEXAS INSTRUMENTS INCORPORATED © 1997
TI
CBR