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. B 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. t 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. B 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. t 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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Question

trapezoidal method

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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