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Suppose the velocity v of a motorboat coasting in water
Chapter 1, Problem 46P(choose chapter or problem)
Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt = kv2. The initial speed of the motorboat is v(0) = 10 meters per second (m/s), and v is decreasing at the rate of 1 m/s2 when v = 5 m/s. How long does it take for the velocity of the boat to decrease to 1 m/s? To 1/10 m/s? When does the boat come to a stop?
Questions & Answers
QUESTION:
Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt = kv2. The initial speed of the motorboat is v(0) = 10 meters per second (m/s), and v is decreasing at the rate of 1 m/s2 when v = 5 m/s. How long does it take for the velocity of the boat to decrease to 1 m/s? To 1/10 m/s? When does the boat come to a stop?
ANSWER:Solution:-Step 1 of 4Given thatWe have to find how long does it take for the velocity of the boat to decrease to 1 m/s To 1/10 m/s And we have to find when does the boat come to a stop