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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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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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