A falling object satisfies the initial value problem dv = 9.8 - v(0) = 0 dt where v is the velocity in meters per second. (a) Find the time, in seconds, that must elapse for the object to reach 98 % of its limiting velocity. Round your answer to two decimal places. t = i S (b) How far, in meters, does the object fall in that time? Round your answer to two decimal places. X = i m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A falling object satisfies the initial value problem
dv
= 9.8 -
- (7), V(0)
= 0
dt
where v is the velocity in meters per second.
(a) Find the time, in seconds, that must elapse for the object to reach 98 % of its limiting velocity.
Round your answer to two decimal places.
t = i
S
(b) How far, in meters, does the object fall in that time?
Round your answer to two decimal places.
X =
i
m
Transcribed Image Text:A falling object satisfies the initial value problem dv = 9.8 - - (7), V(0) = 0 dt where v is the velocity in meters per second. (a) Find the time, in seconds, that must elapse for the object to reach 98 % of its limiting velocity. Round your answer to two decimal places. t = i S (b) How far, in meters, does the object fall in that time? Round your answer to two decimal places. X = i m
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