The velocity (in m/s) of a moving particle is a function of time (in seconds). The table below summarizes the velocity at specific time intervals. t v(t) 0 22 15 24 18 37 24 123 Use the Direct Method to interpolate a cubic polynomial for the velocity of the particle. Use the resulting polynomial to approximate the velocity at t=16 seconds. O 29.8432 O 27.4841 O 28.4932 O none of the choices O 26.8048

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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The velocity (in m/s) of a moving particle is a function of time (in seconds). The table below summarizes the velocity at specific time intervals.
It
v(t)
29.8432
0
27.4841
22
15
O 28.4932
O none of the choices
O 26.8048
24
18
37
Use the Direct Method to interpolate a cubic polynomial for the velocity of the particle. Use the resulting polynomial to approximate the velocity at t=16 seconds.
24
123
Transcribed Image Text:The velocity (in m/s) of a moving particle is a function of time (in seconds). The table below summarizes the velocity at specific time intervals. It v(t) 29.8432 0 27.4841 22 15 O 28.4932 O none of the choices O 26.8048 24 18 37 Use the Direct Method to interpolate a cubic polynomial for the velocity of the particle. Use the resulting polynomial to approximate the velocity at t=16 seconds. 24 123
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