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Author Question: A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. ... (Read 82 times)

jhjkgdfhk

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Question 1

Solve the following  initial-value problem:   = 9.8 - 0.196v, v(0) = 48.
◦ v = 50 - e-0.196t
◦ v = 100 - 4e-0.196t
◦ v = 50 + 2e-0.196t
◦ v = 50 + e-0.196t
◦ v = 50 - 2e-0.196t

Question 2

A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter, its deceleration due to water resistance is given by   = -kv2,  where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec.
(a)  What is the value of k?
(b)  When will the boat slow to 5 ft/sec?
(a)    (b)   100 s

(a)   (b)  50 s

(a)   (b)  70 s

(a)   (b)  700 s

(a)  (b)  140 s


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Marked as best answer by jhjkgdfhk on May 27, 2021

Swizqar

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jhjkgdfhk

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Reply 2 on: May 27, 2021
Thanks for the timely response, appreciate it


debra928

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Reply 3 on: Yesterday
Gracias!

 

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