When we estimate distances from velocity data, it is sometimes necessary to use times to, t1, t2, t3, ... that are not equally spaced. We can still estimate distances using the time periods At; = t; - t; - 1. For example, a space shuttle was launched on a mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.) h = ft Event Time (s) Velocity (ft/s) Launch Begin roll maneuver 10 180 End roll maneuver 15 319 Throttle to 89% 20 442 Throttle to 67% 32 742

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When we estimate distances from velocity data, it is sometimes necessary to use times to, t1, t2, t3, . . . that are not equally
spaced. We can still estimate distances using the time periods At; = t; - t; - 1. For example, a space shuttle was launched on a
mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle
between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of
the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.)
h 3D
ft
Event
Time (s) Velocity (ft/s)
Launch
Begin roll maneuver
10
180
End roll maneuver
15
319
Throttle to 89%
20
442
Throttle to 67%
32
742
Throttle to 104%
59
1325
Maximum dynamic pressure
62
1453
Solid rocket booster separation
125
4052
Transcribed Image Text:When we estimate distances from velocity data, it is sometimes necessary to use times to, t1, t2, t3, . . . that are not equally spaced. We can still estimate distances using the time periods At; = t; - t; - 1. For example, a space shuttle was launched on a mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.) h 3D ft Event Time (s) Velocity (ft/s) Launch Begin roll maneuver 10 180 End roll maneuver 15 319 Throttle to 89% 20 442 Throttle to 67% 32 742 Throttle to 104% 59 1325 Maximum dynamic pressure 62 1453 Solid rocket booster separation 125 4052
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