When we estimate distances from velocity data, it is sometimes necessary to use times t0, t1, t2, t3, . . . that are not equally spaced. we can still estimate distances using the time periods ∆ti = ti−ti−1. for example, on may 7, 1992, the space shuttle endeavour was launched on mission sts-49, the purpose of which was to install a new perigee kick motor in an intelsat communications satellite. the table, provided by nasa, gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. use these data to find upper and lower estimates of the height above the earths surface of the endeavour, 62 seconds after liftoff?
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