(a) The velocity of the object, by putting α = ( g / k ) 1 / 2 in the differential equation m d v d t = − g + k v 2 , using separation of variables with initial condition v ( 0 ) = 0 . (b) The terminal velocity lim t → ∞ v ( t ) is equal to − α .

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Answer 1

Question

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

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Answer 2

Question

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

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Answer 3

Question

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

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Answer 4

Question

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

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Answer 5

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

Answer 6

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

Answer 7

Chapter 10.1, Problem 66E

To determine

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 10.1 - Prob. 1PQ Ch. 10.1 - Prob. 2PQ Ch. 10.1 - Prob. 3PQ Ch. 10.1 - Prob. 4PQ Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E

(a) The velocity of the object, by putting α = ( g / k ) 1 / 2 in the differential equation m d v d t = − g + k v 2 , using separation of variables with initial condition v ( 0 ) = 0 . (b) The terminal velocity lim t → ∞ v ( t ) is equal to − α .

Solution Summary: The author determines the velocity of the object by putting = g / k in the differential equation.

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(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .

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Chapter 10 Solutions

(a) The velocity of the object, by putting α = ( g / k ) 1 / 2 in the differential equation m d v d t = − g + k v 2 , using separation of variables with initial condition v ( 0 ) = 0 . (b) The terminal velocity lim t → ∞ v ( t ) is equal to − α .

Solution Summary: The author determines the velocity of the object by putting = g / k in the differential equation.

Concept explainers

Videos

(a) The velocity of the object, by putting α=(g/k)1/2 in the differential equation mdvdt=−g+kv2, using separation of variables with initial condition v(0)=0. (b) The terminal velocity limt→∞v(t) is equal to −α.

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Chapter 10 Solutions

(a) The velocity of the object, by putting $α = {(g / k)}^{1 / 2}$ in the differential equation $m \frac{d v}{d t} = - g + k v^{2}$ , using separation of variables with initial condition $v (0) = 0$ .

(b) The terminal velocity $\lim_{t \to \infty} v (t)$ is equal to $- α$ .