Problem 8: If the blimp in the above problem took off from the origin on the ground such that it always moved with a constant speed vo while being on the curve x = (a) Find the x and y components of the velocity as function of y. Find the magnitude of velocity from these. Draw the velocity vector () at y = 1 on the path's graph (x = 2²). Ans (partial): x = voy √1+y² (b) Find the x and y components of the acceleration as function of y. Find the magnitude of acceleration from these components. Draw the acceleration vector (a) at y = 1 on the same path graph above. Ans (partial): |ā| = vỏ/(1+ y²)¹.5

Problem 8: If the blimp in the above problem took off from the origin on the ground such that it always moved with a constant speed vo while being on the curve x = (a) Find the x and y components of the velocity as function of y. Find the magnitude of velocity from these. Draw the velocity vector () at y = 1 on the path's graph (x = 2²). Ans (partial): x = voy √1+y² (b) Find the x and y components of the acceleration as function of y. Find the magnitude of acceleration from these components. Draw the acceleration vector (a) at y = 1 on the same path graph above. Ans (partial): |ā| = vỏ/(1+ y²)¹.5

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

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(c) Find the component of acceleration along the velocity, as function of y. Hint: It's an integer!

Problem 8: If the blimp in the above problem took off from the origin on the ground such that it
always moved with a constant speed vo while being on the curve x =
(a) Find the x and y components of the velocity as function of y. Find the magnitude of velocity
from these. Draw the velocity vector () at y = 1 on the path's graph (x = 2²).
Ans (partial): x =
voy
√1+y²
(b) Find the x and y components of the acceleration as function of y. Find the magnitude of
acceleration from these components. Draw the acceleration vector (a) at y = 1 on the same
path graph above. Ans (partial): |ā| = vỏ/(1+ y²)¹.5

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