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 L'Ltf = l:f - t-I._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 jettisonlng of the solid rocket boosters. o 15 319 End roll maneuver Throttle to 89% 20 442 Throttle to 67% 32 742 Throttle to 104% 59 1,335 Maximum dynamic pressure 62 1,430 Solid rocket booster separation 125 4,171 Use a right Riemann sum with six intervals indicated in the table to estimate the height h (In R), above the earth's surface of the space shuttle, 52 seconds aer liltoff. (Give the upper approximation available from the data.)