Q2. The following tables give the velocity data for the space shuttle between lift-off and the jettisoning of the solid rocket boosters. Event Time (s) Velocity (ft/s) Launch 0 0 Begin roll maneuver 10 185 End roll maneuver 15 319 Throttle to 89% 20 447 Throttle to 67% 32 742 Throttle to 104% 59 1325 Maximum dynamic pressure 62 1445 Solid rocket booster separation 125 4151 (a) Determine the cubic polynomial that best models the velocity of the shuttle for the time interval ??[0,125]. Then graph this polynomial. (b) Find a model for the acceleration of the shuttle and use it to estimate the maximum and minimum values of the acceleration during the first 125 seconds.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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Q2. The following tables give the velocity data for the space shuttle between lift-off and the

jettisoning of the solid rocket boosters.

Event

Time (s)

Velocity (ft/s)

Launch

0

0

Begin roll maneuver

10

185

End roll maneuver

15

319

Throttle to 89%

20

447

Throttle to 67%

32

742

Throttle to 104%

59

1325

Maximum dynamic pressure

62

1445

Solid rocket booster separation

125

4151

(a) Determine the cubic polynomial that best models the velocity of the shuttle for the time interval ??[0,125]. Then graph this polynomial.

(b) Find a model for the acceleration of the shuttle and use it to estimate the maximum and minimum values of the acceleration during the first 125 seconds.

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