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 2 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 t a 0 32 00 1 19 41 2 11 77 3 7 14 4 4 33 5 2 63

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/sec² and recorded every second after the drop for 5 sec, as shown: t a 0 32.00 1 19.41 2 11.77 3 7.14 4 4.33

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.

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

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