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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Round off all computed values to six decimal places. Thank you!

1. The velocity of a rocket is given by v(t) = 2000 I | 14x10 14x10 - 2100t - 9.8t,0<t<30 where 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.
Transcribed Image Text:1. The velocity of a rocket is given by v(t) = 2000 I | 14x10 14x10 - 2100t - 9.8t,0<t<30 where 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.
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