Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. time(sec) velocity (ft/sec) 0 28 1 51 2 53 3 32 4 8 5 2 6 20

A 650-ft equal-tangent sag vertical cuve has its PVC at station 60+50 and elevation 950 ft. The initial grade is -4.5% and the final grade is +3%. Determine elevation of the lowest point of the curve. O A. 803.55 O B. 941.23 O C. 783.71 O D. 835.16

An object is dropped straight down from a helicopter. The object falls faster and faster but its acceleration (rate of change of its velocity) decreases over time because of air resistance. The acceleration is measured in ft/sec² and recorded every second after the drop for 5 sec, as shown. Find the following estimates. to 1 2 3 4 5 a 32.00 19.41 11.77 7.14 4.33 2.63 a. Find an upper estimate for the speed when t = 5. ft/sec b. Find a lower estimate for the speed when t = 5. ft/sec c. Find an upper estimate for the distance fallen when t = 3. ft

When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 124 seconds. t (sec) v (ft/s) 8 176 17 374 21 462 47 1034 60 1320 65 1555 124 4328 lower estimate of distance traveled = miles upper estimate of distance traveled = miles Report answers accurate to 1 places. This is not meant to be a trick question...be careful of the UNITS!