When we estimate distances from velocity data, it is sometimes necessary to use times to, t, t2, tz, ... that are not equally spaced. We can still estimate distances using the time periods At, = t, - t: For example, a space shuttle was launched on a mission in order to install a new perigee kick motor in a communications satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Event Time (s) Velocity (ft/s) Launch Begin roll maneuver 10 185 End roll maneuver 15 319 Throttle to 89% 20 442 Throttle to 67% 32 742 Throttle to 104% 59 1,335 Maximum dynamic pressure 62 1,460 Solid rocket booster separation 125 4,131 Use a right Riemann sum with six intervals indicated in the table to estimate the height h (in ft), above the earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.) h = 1460 x ft

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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When we estimate distances from velocity data, it is sometimes necessary to use times to, t,, t,, tạ, ... that are not equally spaced. We can still estimate distances using the time
periods At, = t, - t1: For example, a space shuttle was launched on a mission in order to install a new perigee kick motor in a communications satellite. The table provided gives the
velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters.
Event
Time (s)
Velocity (ft/s)
Launch
Begin roll maneuver
10
185
End roll maneuver
15
319
Throttle to 89%
20
442
Throttle to 67%
32
742
Throttle to 104%
59
1,335
Maximum dynamic pressure
62
1,460
Solid rocket booster separation
125
4,131
Use a right Riemann sum with six intervals indicated in the table to estimate the height h (in ft), above the earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper
approximation available from the data.)
h = 1460
X ft
Need Help?
Read It
Master It
Transcribed Image Text:When we estimate distances from velocity data, it is sometimes necessary to use times to, t,, t,, tạ, ... that are not equally spaced. We can still estimate distances using the time periods At, = t, - t1: For example, a space shuttle was launched on a mission in order to install a new perigee kick motor in a communications satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Event Time (s) Velocity (ft/s) Launch Begin roll maneuver 10 185 End roll maneuver 15 319 Throttle to 89% 20 442 Throttle to 67% 32 742 Throttle to 104% 59 1,335 Maximum dynamic pressure 62 1,460 Solid rocket booster separation 125 4,131 Use a right Riemann sum with six intervals indicated in the table to estimate the height h (in ft), above the earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.) h = 1460 X ft Need Help? Read It Master It
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