Q2) The governing equation for a projectile shot vertically upward is d'y di? -mg – C\V\V (0) = 0 and y'(0) = V, vhere m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2). C un aerodynamic drag parameter, and V-dyidt is the velocity. For m- 10.0kg, C-O.IN-s/m², and Vo-500.0 m/s, calculate a) the maximum height attained by the projectile, b) the time required to reach the maximum height, and c) the time required to return to the original elevation. n solving the problem, you should clearly explain and justify the following: 1. Choose a numerical method to solve this problem. State what method you are using and

Q2) The governing equation for a projectile shot vertically upward is d'y di? -mg – C\V\V (0) = 0 and y'(0) = V, vhere m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2). C un aerodynamic drag parameter, and V-dyidt is the velocity. For m- 10.0kg, C-O.IN-s/m², and Vo-500.0 m/s, calculate a) the maximum height attained by the projectile, b) the time required to reach the maximum height, and c) the time required to return to the original elevation. n solving the problem, you should clearly explain and justify the following: 1. Choose a numerical method to solve this problem. State what method you are using and

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Q2) The governing equation for a projectile shot vertically upward is
d'y
= -mg – C\V\V
y(0) = 0 and y'(0) = V.
m-
where m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2), C is
an aerodynamic drag parameter, and V-dyidt is the velocity.
For m- 10.0kg, C-O.IN-s/m², and Ve - 500.0 m/s, calculate
(a) the maximum height attained by the projectile,
(b) the time required to reach the maximum height, and
(c) the time required to return to the original elevation.
In solving the problem, you should clearly explain and justify the following:
1. Choose a numerical method to solve this problem. State what method you are using and
explain how it was derived and the error associated with the method.
2. Do you expect any issues with the convergence of your method?

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