A motorboat is travelling with a velocity of 40 ft/sec when its ...

[jhjkgdfhk]

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

[Swizqar]

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[jhjkgdfhk]

Gracias!

[meow1234]

Thanks for the timely response, appreciate it