ID: AName:6.The table below gives velocity data for a rocket shortly after liftoff.Time (sVelocity (m/s)00106315862011030203358555467096390Determine which of the following cubic polynomials best models the velocity of the rocket for the time intervalte [0, 90]-v(t) = 0.001101t - 0.06979 t 8.158t - 10.1923a.2+ 8.171t - 6.6093- 0.1143 tb.v(t)=0.001589t2v(t) 0.000205t 0.09749 t 2.704t + 16.31с.2+3d. v(t)=0.001028t - 0.07601t 7.954t - 7.36426.585t - 5.8953v(t)= 0.000331t 0.005495 tIo Iе.7. A cubic function is a polynomial of degree 3; that is, it has the form23+ bx + CX + df(x)ax1+ 2bx tC3ах2

Question
Asked Oct 21, 2019
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ID: A
Name:
6.
The table below gives velocity data for a rocket shortly after liftoff.
Time (s
Velocity (m/s)
0
0
10
63
15
86
20
110
30
203
358
55
546
70
963
90
Determine which of the following cubic polynomials best models the velocity of the rocket for the time interval
te [0, 90]-
v(t) = 0.001101t - 0.06979 t 8.158t - 10.19
2
3
a.
2
+ 8.171t - 6.609
3
- 0.1143 t
b.
v(t)=0.001589t
2
v(t) 0.000205t 0.09749 t 2.704t + 16.31
с.
2
+
3
d. v(t)=0.001028t - 0.07601t 7.954t - 7.364
2
6.585t - 5.895
3
v(t)= 0.000331t 0.005495 t
Io I
е.
7. A cubic function is a polynomial of degree 3; that is, it has the form
2
3
+ bx + CX + d
f(x)
ax
1
+ 2bx tC
3ах2
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ID: A Name: 6. The table below gives velocity data for a rocket shortly after liftoff. Time (s Velocity (m/s) 0 0 10 63 15 86 20 110 30 203 358 55 546 70 963 90 Determine which of the following cubic polynomials best models the velocity of the rocket for the time interval te [0, 90]- v(t) = 0.001101t - 0.06979 t 8.158t - 10.19 2 3 a. 2 + 8.171t - 6.609 3 - 0.1143 t b. v(t)=0.001589t 2 v(t) 0.000205t 0.09749 t 2.704t + 16.31 с. 2 + 3 d. v(t)=0.001028t - 0.07601t 7.954t - 7.364 2 6.585t - 5.895 3 v(t)= 0.000331t 0.005495 t Io I е. 7. A cubic function is a polynomial of degree 3; that is, it has the form 2 3 + bx + CX + d f(x) ax 1 + 2bx tC 3ах2

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Expert Answer

Step 1

Given table contains the velocity data for a rocket after lift-off.

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vt) 0 0 10 63 15 86 110 20 30 203 55 358 70 546 90 963 To determine: the cubic polynomial that best models the velocity of the rocket for the time interval t between 0 to 90

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Step 2

Use online graphing calculator and substitute the values given in the table to obtain the best cubic polynomial for the velocity in the given time interval.

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The best cubic polynomial for the velocity in the time interval is v(t) 0.0016x3 - 0.1143x2 8.1706x + 6.6089

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Step 3

You may also use the Excel to get the equation b...

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Format Trendline Trendline Options Trendline Options Exponential Linear Logarithmic Polynomial Order 2 Power Moving Average Period 2 Trendline Name Linear (Sales) OAutomatic Custom Forecast Forward period Backward 0.0 period Set Intercept 0.0 Display Equation on chart 4

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Math

Calculus

Functions