2.) A small rocket is fired from a launch pad 10 m above the ground. This initial position can be modelled by = <0,0, 10 >. The initial velocity of the rocket is given by v, = < 50,0, 30 > m/s. A crosswind = < 0,2.5, -9.8 > describes the %3D blowing to the north produces an acceleration of 2.5 m/s2. If a(t) acceleration of the rocket, determine the velocity function, v(t), and the position function, r(t) for the rocket. How long after launch does the rocket hit the ground? Round to the nearest second. %3D
2.) A small rocket is fired from a launch pad 10 m above the ground. This initial position can be modelled by = <0,0, 10 >. The initial velocity of the rocket is given by v, = < 50,0, 30 > m/s. A crosswind = < 0,2.5, -9.8 > describes the %3D blowing to the north produces an acceleration of 2.5 m/s2. If a(t) acceleration of the rocket, determine the velocity function, v(t), and the position function, r(t) for the rocket. How long after launch does the rocket hit the ground? Round to the nearest second. %3D
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
Find v(t), r(t) and t
![2.) A small rocket is fired from a launch pad 10 m above the ground. This initial position can be modelled by
r.(t) = <0,0, 10 >. The initial velocity of the rocket is given by v, =
blowing to the north produces an acceleration of 2.5 m/s2. If a(t) = < 0,2.5, - 9.8 > describes the
acceleration of the rocket, determine the velocity function, v(t), and the position function, r(t) for the rocket.
How long after launch does the rocket hit the ground? Round to the nearest second.
%3D
< 50, 0, 30 > m/s. A crosswind
%3D
%3D
%3D
= (7)A
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40174750-f49c-418a-99e5-b99a47847661%2Fe564b93b-ac21-44a1-a7aa-60f43769c2a3%2Flgdgj3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.) A small rocket is fired from a launch pad 10 m above the ground. This initial position can be modelled by
r.(t) = <0,0, 10 >. The initial velocity of the rocket is given by v, =
blowing to the north produces an acceleration of 2.5 m/s2. If a(t) = < 0,2.5, - 9.8 > describes the
acceleration of the rocket, determine the velocity function, v(t), and the position function, r(t) for the rocket.
How long after launch does the rocket hit the ground? Round to the nearest second.
%3D
< 50, 0, 30 > m/s. A crosswind
%3D
%3D
%3D
= (7)A
%3D
%3D
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A small rocket is fired from a launch pad 10m above the ground. This initial position can be modelled by r0(t) = <0,0,10>. The initial velocity of the rocket is given by v0 = <50,0,30> m/s. A crosswind blowing to the north produced an acceleration of 2.5m/s^2. If a(t) = <0,2.5,-9.8> describes the acceleration of the rocket, determine the velocity function, v(t), and the position function, r(t) for the rocket. How long after launch does the rocket hut the ground? Round to the nearest second.
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