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14x10 1. The velocity of a rocket is given by v(t) = 2000 In |-9.8t,0sts30 where %3D 14x10 – 2100f v is given in m/s and t is given in seconds. At t=16 s and using At= 2 s, a. Use approximations of the first derivative of v(t) to determine the acceleration of the forward difference, backward difference and central difference rocket.

14x10 1. The velocity of a rocket is given by v(t) = 2000 In |-9.8t,0sts30 where %3D 14x10 – 2100f v is given in m/s and t is given in seconds. At t=16 s and using At= 2 s, a. Use approximations of the first derivative of v(t) to determine the acceleration of the forward difference, backward difference and central difference rocket.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
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14x10 1. The velocity of a rocket is given by v(t) = 2000 In| -9.8t,0<t<30 where 14x10* – 2100f v is given in m/s and t is given in seconds. At t=16 s and using At= 2 s, a. Use forward difference, backward difference and central difference approximations of the first derivative of v(t) to determine the acceleration of the rocket. b. If the true value of the acceleration at t=16 s is 29.674 m/s², calculate the absolute relative true error for each approximation obtained. What can you conclude from these values of the relative errors?
Transcribed Image Text:14x10 1. The velocity of a rocket is given by v(t) = 2000 In| -9.8t,0<t<30 where 14x10* – 2100f v is given in m/s and t is given in seconds. At t=16 s and using At= 2 s, a. Use forward difference, backward difference and central difference approximations of the first derivative of v(t) to determine the acceleration of the rocket. b. If the true value of the acceleration at t=16 s is 29.674 m/s², calculate the absolute relative true error for each approximation obtained. What can you conclude from these values of the relative errors?
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