Problem 68E

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 model these data by a third-degree polynomial. b Use the model in part a to estimate the height reached by the Endeavour, 125 seconds after liftoff. 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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