A plane is being tracked by radar, and data are taken every second in polar coordinates and r as shown in Table Q3. Table Q3: Data tracked by radar in time (second) t, s 0, rad r, m 300 302 304 0.75 0.72 0.70 5120 5370 5560 306 0.68 5A 308 0.67 6030 Note: The value of A is the last three digit of your matrix number. At t = 306 s, use 3-Point Central Difference to find the vector expressions for (i) velocity v, (ii) acceleration a. The velocity and acceleration given in polar coordinates are: v=řê, + roe, a= (i – rô)ê, +(rê +21Đ)ê, 310 0.66 6240

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use : 5A=5013
QUESTION 3: CHAPTER 5 NUMERICAL DIFFERENTIATION
A plane is being tracked by radar, and data are taken every second in polar coordinates 0 and r as
shown in Table Q3.
Table Q3: Data tracked by radar in time (second)
300
302 304
306
0.75
0.72
0.70
0.68
5120 5370 5560
5A
t, s
0, rad
r, m
308
0.67
6030
Note: The value of A is the last three digit of your matrix number.
At t = 306 s, use 3-Point Central Difference to find the vector expressions for
(i)
velocity v,
acceleration a.
The velocity and acceleration given in polar coordinates are:
v=řê, + rê,
a=(r-r0³)ê, +(rö+2ř0)ê,
310
0.66
6240
Transcribed Image Text:QUESTION 3: CHAPTER 5 NUMERICAL DIFFERENTIATION A plane is being tracked by radar, and data are taken every second in polar coordinates 0 and r as shown in Table Q3. Table Q3: Data tracked by radar in time (second) 300 302 304 306 0.75 0.72 0.70 0.68 5120 5370 5560 5A t, s 0, rad r, m 308 0.67 6030 Note: The value of A is the last three digit of your matrix number. At t = 306 s, use 3-Point Central Difference to find the vector expressions for (i) velocity v, acceleration a. The velocity and acceleration given in polar coordinates are: v=řê, + rê, a=(r-r0³)ê, +(rö+2ř0)ê, 310 0.66 6240
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