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:

a. Find an upper estimate for the speed when t = 5.

b. Find a lower estimate for the speed when t = 5.

c. Find an upper estimate for the distance fallen when t = 3.

Transcribed Image Text:

t a 0 32.00 1 19.41 2 11.77 3 7.14 4 4.33 5 2.63