In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 7t +4. (a) Find the average velocity between t = 1 and t = 1 +hif: (i) h = 0.1 (ii) h = 0.01 (iii) h = 0.001 Enter the exact answers. (i) When h = 0.1, the average velocity between t = 1 and t = 1 + h is i m/sec. (ii) When h = 0.01, the average velocity between 1 = 1 and t = 1+ h is i m/sec. m/sec. (iii) When h = 0.001, the average velocity between t = 1 and t = 1 + h is (b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1. Round your estimate to the nearest integer. m/sec. The instantaneous velocity appears to be Toxthockand Media

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ISBN:9780470458365
Author:Erwin Kreyszig
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In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 7t +4.
(a) Find the average velocity between t = 1 and t = 1 +h if:
(i) h = 0.1
(ii) h = 0.01
(iii) h = 0.001
Enter the exact answers.
(i) When h = 0.1, the average velocity between t = 1 and t = 1 + his
m/sec.
(ii) When h = 0.01, the average velocity between t = 1 and t = 1 + h is
i
m/sec.
m/sec.
(iii) When h = 0.001, the average velocity between t = 1 and t = 1 + h is i
(b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1.
Round your estimate to the nearest integer.
m/sec.
i
The instantaneous velocity appears to be
Toxthoolkand Media
Transcribed Image Text:In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 7t +4. (a) Find the average velocity between t = 1 and t = 1 +h if: (i) h = 0.1 (ii) h = 0.01 (iii) h = 0.001 Enter the exact answers. (i) When h = 0.1, the average velocity between t = 1 and t = 1 + his m/sec. (ii) When h = 0.01, the average velocity between t = 1 and t = 1 + h is i m/sec. m/sec. (iii) When h = 0.001, the average velocity between t = 1 and t = 1 + h is i (b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1. Round your estimate to the nearest integer. m/sec. i The instantaneous velocity appears to be Toxthoolkand Media
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