An object is dropped straight down from a helicopter. The object falls faster and faster out its acceleration (rate of change of its velocity) decreases over time because of air esistance. The acceleration is measured in ft/sec² and recorded every second after he drop for 5 sec, as shown. Find the following estimates. t012 3 45 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 . Find a lower estimate for the speed when t = 5. ft/sec e. Find an upper estimate for the distance fallen when t = 3.
An object is dropped straight down from a helicopter. The object falls faster and faster out its acceleration (rate of change of its velocity) decreases over time because of air esistance. The acceleration is measured in ft/sec² and recorded every second after he drop for 5 sec, as shown. Find the following estimates. t012 3 45 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 . Find a lower estimate for the speed when t = 5. ft/sec e. Find an upper estimate for the distance fallen when t = 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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
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