The velocity v (in m/s) of a rocket measured at half second intervals is shown in the image below. Use central differences to approximate the acceleration (in m/s2 ) of the rocket at times t = 1.0 s and t = 1.75 s

The velocity v (in m/s) of a rocket measured at half second intervals is shown in the image below. Use central differences to approximate the acceleration (in m/s2 ) of the rocket at times t = 1.0 s and t = 1.75 s

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Question

The velocity v (in m/s) of a rocket measured at half second intervals is shown in the image below.

Use central differences to approximate the acceleration (in m/s2 ) of the rocket at times t = 1.0 s and t = 1.75 s.

t (sec) v(t) (m/sec)
0.0
00.000
0.5
11.860
1.0
26.335
1.5
41.075
2.0
59.051

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