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; t₁1. For example, a space shuttle was launched on a mission, the purpose of which was to install 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) 0 Launch Begin roll maneuver 10 End roll maneuver 15 Throttle to 89% 20 Throttle to 67% 32 Throttle to 104% 59 Maximum dynamic pressure 62 Solid rocket booster separation 125 0 180 319 442 742 1100 1453 4151

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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; t₁1. 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
0
Begin roll maneuver
10
End roll maneuver
15
Throttle to 89%
20
Throttle to 67%
32
Throttle to 104%
59
Maximum dynamic pressure
62
Solid rocket booster separation 125
0
180
319
442
742
1100
1453
4151
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; t₁1. 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 0 Begin roll maneuver 10 End roll maneuver 15 Throttle to 89% 20 Throttle to 67% 32 Throttle to 104% 59 Maximum dynamic pressure 62 Solid rocket booster separation 125 0 180 319 442 742 1100 1453 4151
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