On May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite.
The table gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters.
(a) Use a graphing calculator or computer to find the cubic polynomial that best models the velocity of the shuttle for the time interval t
(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.
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 |
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