6. Write an equation, h(t), modeling the height of your ball as a function of time. h()=4.9t² +9,42t +1.95

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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Related questions
Question

how would I find velocity(t) and acceleration(t) using this data and equation?

-0.2
-0.1
0.0
t
1.3
-4
A.S
1.6
. 7
.8
9
1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
2
1.9
2
2.1
2-2
2.3
2.5
2.6
2.7
2-8
2.9
3
3.1
+
*
Height (meters), h(t)
nearest thousandth
-000
-.13
.959
ΔΙ
ΔΙ
Velocity (m/sec)
*nearest hundredth*
00
XXXXXX
12.08/- 8 = 10.4
1.93=1.88/0= 1.88
2.843 1688/. 28.44
3.638=1.492/2 = 7.46
4.33 $1.296 AA = 6.48
4.934-1.1/2 = 5.5
5.433X= 904/2=4.52
5.838 708 = 3.54
6.143A = 512/₁2=2.56
6.350.3161.2=1.58
6.4597.120/2=.6
Acceleration
(m/sec/sec)
A(Ah/Al)
A
XXXXXX
XXXXXX
6.470 = 33/2 - 165
又
=
6.38 37 =-.272 = -1.36
6.198 = -468/.2=-2.34
A
5.913--664/2=-3.32
5.5341=-.86/2=-4.3
s. Oss=-1.056/-2=-5.28
4.478=1.232/2=-6-26
3.8031 =-1.4481.2= -7.24
3.03 = -1.6441/2 = -8.22
2.159A = 1.84/-2=-9.2
1.19 = -2/036/2=-10-18
· 123 = -2.232/ 2 =11.16
-1042=-2/428/2 = -12.14
-2.30 SA=-2/624/2 = -13.12
-21.821.2 = -14.1
- 3.666
- 5.125 = -3.0161.2=-15.08
-6.6828=-3212/12 = -16.06
-8.337 = -3.408%2 = -17.04
- 10.09 = -3/60 3/2 = -18.015
-11,94 A = -3.8/2= -19
-13.89 X = -4/2= = -20
-15,94
xxxxx
Transcribed Image Text:-0.2 -0.1 0.0 t 1.3 -4 A.S 1.6 . 7 .8 9 1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 2 1.9 2 2.1 2-2 2.3 2.5 2.6 2.7 2-8 2.9 3 3.1 + * Height (meters), h(t) nearest thousandth -000 -.13 .959 ΔΙ ΔΙ Velocity (m/sec) *nearest hundredth* 00 XXXXXX 12.08/- 8 = 10.4 1.93=1.88/0= 1.88 2.843 1688/. 28.44 3.638=1.492/2 = 7.46 4.33 $1.296 AA = 6.48 4.934-1.1/2 = 5.5 5.433X= 904/2=4.52 5.838 708 = 3.54 6.143A = 512/₁2=2.56 6.350.3161.2=1.58 6.4597.120/2=.6 Acceleration (m/sec/sec) A(Ah/Al) A XXXXXX XXXXXX 6.470 = 33/2 - 165 又 = 6.38 37 =-.272 = -1.36 6.198 = -468/.2=-2.34 A 5.913--664/2=-3.32 5.5341=-.86/2=-4.3 s. Oss=-1.056/-2=-5.28 4.478=1.232/2=-6-26 3.8031 =-1.4481.2= -7.24 3.03 = -1.6441/2 = -8.22 2.159A = 1.84/-2=-9.2 1.19 = -2/036/2=-10-18 · 123 = -2.232/ 2 =11.16 -1042=-2/428/2 = -12.14 -2.30 SA=-2/624/2 = -13.12 -21.821.2 = -14.1 - 3.666 - 5.125 = -3.0161.2=-15.08 -6.6828=-3212/12 = -16.06 -8.337 = -3.408%2 = -17.04 - 10.09 = -3/60 3/2 = -18.015 -11,94 A = -3.8/2= -19 -13.89 X = -4/2= = -20 -15,94 xxxxx
6.
S
9.42
Write an equation, h(t), modeling the height of your ball as a function of time.
h(1) =_ 4.9 € * +9,42+ +$1.95
0
Transcribed Image Text:6. S 9.42 Write an equation, h(t), modeling the height of your ball as a function of time. h(1) =_ 4.9 € * +9,42+ +$1.95 0
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