When we estimate distances from velocity data, it is sometimes necessary to use times to t₁ tr t that are not equally spaced. We can still estimate distances using the time periodsAt₁ = 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 forthe shuttle between liftoff and the jettisoning of the solid rocket boosters.Time (s)Velocity (ft/s)Launchh =EventBegin roll maneuverEnd roll maneuverThrottle to 89%Throttle to 67%01015203259062185319Throttle to 104%Maximum dynamic pressureSolid rocket booster separation 125Use 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 upperapproximation available from the data.)ft4527421,3151,4304,151

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Answered: Launch Event Begin roll maneuver End…

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