Suppose a flaming ball is set to fire from [0, 0] and fixed to the rail of the lower arch of the Sydney Harbour Bridge (ie the trajectory of the ball follows the rail). The ball must reach the point [503, 0] in exactly 6 seconds. The x and y co-ordinates can be specified as a function of t in seconds, as • x(t) = • y(t) = 118 9 -t(t - 6). dx Note: We are assuming a constant x-velocity, ie should be constant. dt The distance travelled by the ball at time u seconds is given by the formula 2 dx dy -N√(G)*³- )*- 2 dt. dt dt s(u) = = + Hence after 5 seconds the ball has travelled (to the nearest metre) 수 Note: you will probably want to use Maple of WolframAlpha to calculate this integral. metres.
Suppose a flaming ball is set to fire from [0, 0] and fixed to the rail of the lower arch of the Sydney Harbour Bridge (ie the trajectory of the ball follows the rail). The ball must reach the point [503, 0] in exactly 6 seconds. The x and y co-ordinates can be specified as a function of t in seconds, as • x(t) = • y(t) = 118 9 -t(t - 6). dx Note: We are assuming a constant x-velocity, ie should be constant. dt The distance travelled by the ball at time u seconds is given by the formula 2 dx dy -N√(G)*³- )*- 2 dt. dt dt s(u) = = + Hence after 5 seconds the ball has travelled (to the nearest metre) 수 Note: you will probably want to use Maple of WolframAlpha to calculate this integral. metres.
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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![Suppose a flaming ball is set to fire from [0, 0] and fixed to the rail of the lower arch of the Sydney Harbour Bridge (ie
the trajectory of the ball follows the rail). The ball must reach the point [503, 0] in exactly 6 seconds. The x and y
co-ordinates can be specified as a function of t in seconds, as
• x(t) =
●
• y(t)
118
9
-t(t – 6).
Note: We are assuming a constant x-velocity, ie should be constant.
The distance travelled by the ball at time u seconds is given by the formula
dx
dt
Ա
dx
2
[√(2)
dt
s(u)
=
+
2
dy
(d) ²
dt
dt.
Hence after 5 seconds the ball has travelled (to the nearest metre)
수
Note: you will probably want to use Maple of WolframAlpha to calculate this integral.
metres.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43a4c8ef-c187-4fec-97ad-37576ae75fb4%2F99ecca52-a225-4505-9855-69df1fa82666%2F3hpiado_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a flaming ball is set to fire from [0, 0] and fixed to the rail of the lower arch of the Sydney Harbour Bridge (ie
the trajectory of the ball follows the rail). The ball must reach the point [503, 0] in exactly 6 seconds. The x and y
co-ordinates can be specified as a function of t in seconds, as
• x(t) =
●
• y(t)
118
9
-t(t – 6).
Note: We are assuming a constant x-velocity, ie should be constant.
The distance travelled by the ball at time u seconds is given by the formula
dx
dt
Ա
dx
2
[√(2)
dt
s(u)
=
+
2
dy
(d) ²
dt
dt.
Hence after 5 seconds the ball has travelled (to the nearest metre)
수
Note: you will probably want to use Maple of WolframAlpha to calculate this integral.
metres.
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