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MULTIPLE CHOICE TEST

(All Tests)

DIRECT INTERPOLATION

(More on Direct Interpolation)

INTERPOLATION

(More on Interpolation)

 

Pick the most appropriate answer.


A unique polynomial of degree ________________ passes through n+1 data points
n+1

n+1 or less
n
n or less


The data of the velocity of a body as a function of time is given as follows.

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

The velocity at 16s using linear polynomial interpolation is most nearly

27.867 m/s
28.333 m/s
30.429 m/s
43.000 m/s


The following data of the velocity of a body as a function of time is given as follows. 

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

The velocity at t=16 seconds using quadratic polynomial interpolation is most nearly

27.867 m/s
28.333 m/s
30.429 m/s
43.000 m/s


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

approximates the velocity of the body between 18 and 24 seconds.  From this information, at what time is the velocity of the body is 35 m/s during the above time interval

18.67 s
20.85 s

22.20 s
22.29 s


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

One of the interpolant approximations from the above data is given as

Using the above interpolant, the distance covered by the body between t=19s and t=22s is most nearly

10.50 m

88.50 m

93.00 m

168.00 m


The following data of the velocity of a body as a function of time is given

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

If you were going to use quadratic interpolation to find the value of the velocity at t=14.9 seconds, what three data points of time would you choose for interpolation?

0, 15, 18
15,18,22
0, 15, 22
0, 18, 24


 

Multiple choice questions on other topics

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.