When we estimate distances from velocity date, it is sometimes necessary to use times to, ti, t2, ... that are not equally spaced. We can still estimate distances using the time periods At, = t; – t;-1. For example, 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 communication satellite. The table, proved by NASA, gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rock boosters. Use these data to estimate the height above the earth's surface of the Endeavour, 62 seconds after liftoff. Event Time (s) Velocity (ft/s) Launch Begin roll maneuver End roll maneuver Throttle to 89% Throttle to Throttle to 104% Maximum dynamic pressure Solid rocket booster separation 10 185 15 319 20 447 742 32 59 1325 62 1445 125 4151

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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O When we estimate distances from velocity date, it is sometimes necessary to use times
to, ti, t2, ... that are not equally spaced. We can still estimate distances using the time
periods At, = t; – t;-1. For example, 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 communication satellite. The table, proved by NASA, gives the velocity data
for the shuttle between liftoff and the jettisoning of the solid rock boosters. Use these data
to estimate the height above the earth's surface of the Endeavour, 62 seconds after liftoff.
Event
Launch
Time (s) Velocity (ft/s)
Begin roll maneuver
End roll maneuver
10
185
15
319
Throttle to 89%
Throttle to 67%
Throttle to 104%
Maximum dynamic pressure
Solid rocket booster separation.
20
447
32
742
59
1325
62
1445
125
4151
Transcribed Image Text:O When we estimate distances from velocity date, it is sometimes necessary to use times to, ti, t2, ... that are not equally spaced. We can still estimate distances using the time periods At, = t; – t;-1. For example, 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 communication satellite. The table, proved by NASA, gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rock boosters. Use these data to estimate the height above the earth's surface of the Endeavour, 62 seconds after liftoff. Event Launch Time (s) Velocity (ft/s) Begin roll maneuver End roll maneuver 10 185 15 319 Throttle to 89% Throttle to 67% Throttle to 104% Maximum dynamic pressure Solid rocket booster separation. 20 447 32 742 59 1325 62 1445 125 4151
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