Use the following data to find the velocity and acceleration at t = 10 seconds:Time, t,...

Question

Use the following data to find the velocity and acceleration at t = 10 seconds:

Time, t, s	0	2	4	6	8	10	12	14	16
Position, x, m	0	0.7	1.8	3.4	5.1	6.3	7.3	8.0	8.4

Use second-order correct (a) centered finite-difference, (b) forward finite-difference, and (c) backward finite-difference methods.

David · Accepted Answer

(a) 
222
11
2
2
11
s
m
05.0
2
1.5)3.6(23.7)()(2)(
)(
s
m
55.0
4
1.53.7
2
)()(
)(












h
txtxtx
tx
dt
xd
a
h
txtx
tx
dt
dx
v
iii
i
ii
i
 
 
(b) 
222
123
12
s
m
075.0
2
)3.6(2)3.7(5)8(44.8)(2)(5)(4)(
s
m
575.

Use the following data to find the velocity and acceleration at t = 10 seconds: Time, t, s 0 2 4 6 8 10 12 14 16 Position, x, m 0 0.7 1.8 3.4 5.1 6.3 7.3 8.0 8.4 Use second-order correct (a) centered...

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