Question: When we estimate distances from velocity data, it is sometimes necessary to use times t0, t1, f E 2 3 .. that are not equally


When we estimate distances from velocity data, it is sometimes necessary to use times t0, t1, f E\" 2" 3" .. that are not equally spaced. We can still estimate distances using the time periods Arf : ti ti_1. For example, a space shuttle was launched on a mission in order to install a new perigee kick motor in a oomrnunications satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Event lime (5) Velocity (ftls) Launch 0 0 Begin roll maneuver 10 185 End roll maneuver 15 319 Throttle to 59% 20 452 Throttle to 67% 32 742 Throttle to 104% 59 1,325 Maximum dynamic pressure 62 1,430 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 surfaoe of the spade shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.) \"Est
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