3. [-/1 Points] DETAILS SCALCET9 5.1.009.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance (in ft) that she traveled during these three seconds. t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5. 9.2 15.5 18.8 19.8 20.2 lower f upper Ift When we estimate distances from velocity data, it is sometimes necessary to use times to,t, ty, to, . . . that are not equally spaced. We can still estimate distances using the time periods At; = t; - to_ . 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 jettisoning of the solid rocket boosters. Event Time (5) Velocity (ft/s) Launch 0 Begin roll maneuver 10 185 End roll maneuver 15 319 Throttle to 89% 20 452 Throttle to 67% 32 742 Throttle to 104% 59 1,335 Maximum dynamic pressure 62 1,460 Solid rocket booster separation 125 4,151 Use 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 upper approximation available from the data.) h = ft Need Help? Read It Master It