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When we estimate distances from velocity data, it is sometimes necessary to use times tort₁ t₂ t3... that are not equally spaced. We can still estimate distances using the time periods At; = t₁-t₁-1. 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. Time (s) Velocity (ft/s) Launch h = Event Begin roll maneuver End roll maneuver Throttle to 89% Throttle to 67% Throttle to 104% Maximum dynamic pressure Solid rocket booster separation 0 10 15 20 32 59 62 125 0 185 319 452 742 1,315 1,430 4,151 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.) X ft

When we estimate distances from velocity data, it is sometimes necessary to use times tort₁ t₂ t3... that are not equally spaced. We can still estimate distances using the time periods At; = t₁-t₁-1. 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. Time (s) Velocity (ft/s) Launch h = Event Begin roll maneuver End roll maneuver Throttle to 89% Throttle to 67% Throttle to 104% Maximum dynamic pressure Solid rocket booster separation 0 10 15 20 32 59 62 125 0 185 319 452 742 1,315 1,430 4,151 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.) X ft

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂, t, ... that are not equally spaced. We can still estimate distances using the time periods At; = t; - ti-1. 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. Time (s) Velocity (ft/s) Launch h = Event Begin roll maneuver End roll maneuver Throttle to 89% Throttle to 67% Throttle to 104% Maximum dynamic pressure Solid rocket booster separation 0 10 15 20 32 59 62 125 0 185 319 452 742 1,315 1,430 4,151 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.) X ft
Transcribed Image Text:When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂, t, ... that are not equally spaced. We can still estimate distances using the time periods At; = t; - ti-1. 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. Time (s) Velocity (ft/s) Launch h = Event Begin roll maneuver End roll maneuver Throttle to 89% Throttle to 67% Throttle to 104% Maximum dynamic pressure Solid rocket booster separation 0 10 15 20 32 59 62 125 0 185 319 452 742 1,315 1,430 4,151 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.) X ft
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