The figure shows a person who slides, without friction, from the top of a slide (point A), joining a cart that is at rest at point B. From this moment, the person and the cart move together on the water until it stops. Knowing that the speed of the person-cart assembly immediately after docking is 4 m/s and that the speed, v, at each instant t in the water is given by the following table, calculate (using all table points) the distance covered in water by the person-cart set until stopping by the trapezoid method with n=10. 0.0 0.3 0.6 0.8 1.0 1.2 1.8 2.4 3.0 3.6 4.2 4.0 3.9 3.7 3.5 3.3 2.9 2.5 2.0 1.25 0.75 0.0
The figure shows a person who slides, without friction, from the top of a slide (point A), joining a cart that is at rest at point B. From this moment, the person and the cart move together on the water until it stops. Knowing that the speed of the person-cart assembly immediately after docking is 4 m/s and that the speed, v, at each instant t in the water is given by the following table, calculate (using all table points) the distance covered in water by the person-cart set until stopping by the trapezoid method with n=10. 0.0 0.3 0.6 0.8 1.0 1.2 1.8 2.4 3.0 3.6 4.2 4.0 3.9 3.7 3.5 3.3 2.9 2.5 2.0 1.25 0.75 0.0
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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trapezoid method
Transcribed Image Text:A 9,16
B 9,06
8,56
D 8,86
Transcribed Image Text:The figure shows a person who slides, without friction, from the top of a slide (point A), joining a cart that is at rest at point B. From this moment, the
person and the cart move together on the water until it stops.
Knowing that the speed of the person-cart assembly immediately after docking is 4 m/s and that the speed, v, at each instant t in the water is given by the
following table, calculate (using all table points) the distance covered in water by the person-cart set until stopping by the trapezoid method with n=10.
t0.0 0.3 0.6 0.8 1.0 1.2 1.8 2.4 3.0
3.6
4.2
4.0 3.9 3.7 3.5 3.3 2.9 2.5 2.0 1.25 0.75 0.0
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