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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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 24E: Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.
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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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