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 Δti = ti − ti − 1. The following table gives the velocity data for a shuttle between liftoff and the jettisoning of the solid rocket boosters.

Event Time Velocity

Launch 0 0

Begin Roll Maneuver 10 180

End Roll Maneuver 15 319

Throttle to 89% 20 442

Throttle to 67% 32 742

Throttle to 104% 59 1325

Maximum Dynamic Pressure 62 1453

Solid Booster Rock Seperation 125 4052

Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.)

Can someone help? I tried it out and got a very low number for an answer