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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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