05.02.1
MultipleChoice Test
Chapter 05.02
Direct Method of Interpolation
1.
A unique polynomial of degree ________________ passes through
1
+
n
data points.
(A)
1
+
n
(B)
1
+
n
or less
(C)
n
(D)
n
or less
2.
The following data of the velocity of a body is given as a function of time.
Time (s)
0
15
18
22
24
Velocity (m/s)
22
24
37
25
123
The velocity in m/s at
s
16
using linear polynomial interpolation is most nearly
(A)
27.867
(B)
28.333
(C)
30.429
(D)
43.000
3.
The following data of the velocity of a body is given as a function of time.
Time (s)
0
15
18
22
24
Velocity (m/s)
22
24
37
25
123
The velocity in m/s at
s
16
using quadratic polynomial interpolation is most
nearly
(A)
27.867
(B)
28.333
(C)
30.429
(D)
43.000
4.
The following data of the velocity of a body is given as a function of time.
Time (s)
0
15
18
22
24
Velocity (m/s)
22
24
37
25
123
Using quadratic interpolation, the interpolant
( )
,
3523
67
.
349
667
.
8
2
+
−
=
t
t
t
v
24
18
≤
≤
t
approximates the velocity of the body.
From this information, the time in seconds at
which the velocity of the body is 35 m/s during the above time interval of
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Kaw,A
 Numerical Analysis, 35 m/s, 14.9 seconds

Click to edit the document details