In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 4t² +3. a. Find the average velocity between t = 1 and t = 1+hif: i. h = 0.1, ii. h = 0.01, iii. h = 0.001. b. Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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4t² +3.
In a time of t seconds, a particle moves a distance of s meters from its starting point, where s =
a. Find the average velocity between t = 1 and t = 1+hif:
i. h = 0.1,
ii. h = 0.01,
iii. h = 0.001.
b. Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1.
Transcribed Image Text:4t² +3. In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = a. Find the average velocity between t = 1 and t = 1+hif: i. h = 0.1, ii. h = 0.01, iii. h = 0.001. b. Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1.
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