Quiz Chapter 05.02: Direct Method of Interpolation

1. Given n+1 data pairs, a unique polynomial of degree _____ passes through the n+1 data points.

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

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

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

The velocity in m/s at 16 s using quadratic polynomial interpolation is most nearly

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

Using quadratic interpolation, the interpolant

v (t) = 8.667t^{2} - 349.67t + 3523, \, 18 \leq t \leq 24

approximates the velocity of the body between 18 and 24 seconds. From this information, one of the times at which the velicty of the body is 35 m/s during the above time interval of t=18 s to 24 s is

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

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

v(t) = 8.667t^{2} - 349.67t + 3523, \, 18 \leq t \leq 24

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

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

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