Velocity of a Falling Object During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 256 ft. After t sec, the screwdriver had fallen a distance of s = 16t² ft. (a) How long did it take the screwdriver to reach the ground? sec (b) What was the average velocity of the screwdriver between the time it was dropped and the time it hit the ground? ft/sec (c) What was the velocity of the screwdriver at the time i ft/sec hit the ground?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

 Ex 2.6 Q10

Velocity of a Falling Object During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 256 ft. After t sec, the screwdriver had fallen a
distance of s= 16t² ft.
(a) How long did it take the screwdriver to reach the ground?
sec
(b) What was the average velocity of the screwdriver between the time it was dropped and the time it hit the ground?
ft/sec
(c) What was the velocity of the screwdriver at the time it hit the ground?
ft/sec
Transcribed Image Text:Velocity of a Falling Object During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 256 ft. After t sec, the screwdriver had fallen a distance of s= 16t² ft. (a) How long did it take the screwdriver to reach the ground? sec (b) What was the average velocity of the screwdriver between the time it was dropped and the time it hit the ground? ft/sec (c) What was the velocity of the screwdriver at the time it hit the ground? ft/sec
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