A falling object satisfies the initial value problem dv v(0) = 0 dt = 9.8 - where v is the velocity in meters per second. (a) Find the time, in seconds, that must elapse for the object to reach 94 % of its limiting velocity. Round your answer to two decimal places. t = 14.98 S (b) How far, in meters, does the object fall in that time?
A falling object satisfies the initial value problem dv v(0) = 0 dt = 9.8 - where v is the velocity in meters per second. (a) Find the time, in seconds, that must elapse for the object to reach 94 % of its limiting velocity. Round your answer to two decimal places. t = 14.98 S (b) How far, in meters, does the object fall in that time?
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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I am not sure how to do this problem, i get as far as v(t)= 46.06(1-e(-t/5))
but i am not sure how to solve, i feel like im missing something.
thank youuu
Transcribed Image Text:A falling object satisfies the initial value problem
dv
dt
t =
= 9.8 -
where v is the velocity in meters per second.
(a) Find the time, in seconds, that must elapse for the object to reach 94 % of its limiting velocity.
Round your answer to two decimal places.
X =
(7), v(0) =
14.98
= 0
(b) How far, in meters, does the object fall in that time?
Round your answer to two decimal places.
501.27
S
m
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