Question: 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


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/sec and recorded every second after the drop for 8 sec, as shown. Find the following estimates. 0 2 3 4 5 6 17 8 a 32.00 19.41 11.77 7.14 4.33 2.63 1.59 0.97 0.59 a. Find an upper estimate for the speed when t = 8. ft/sec b. Find a lower estimate for the speed when t = 8 ft/sec c. Find an upper estimate for the distance fallen when t = 3. ft Next
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