Author Question: A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. ... (Read 44 times)

jhjkgdfhk · **on:** May 27, 2021

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 · **Reply #1 on:** May 27, 2021

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