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Get Full Access to A First Course In Differential Equations With Modeling Applications - 10 Edition - Chapter 3.1 - Problem 36e
Get Full Access to A First Course In Differential Equations With Modeling Applications - 10 Edition - Chapter 3.1 - Problem 36e

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# Solved: PROBLEM 36EHow High—No Air Resistance Suppose a ISBN: 9781111827052 44

## Solution for problem 36E Chapter 3.1

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 36E

How High?—No Air Resistance Suppose a small cannonball weighing 16 pounds is shot vertically upward, as shown in Figure 3.1.10, with an initial velocity v0 = 300 ft/s. The answer to the question “How high does the cannonball go?” depends on whether we take air resistance into account.(a) Suppose air resistance is ignored. If the positive direction is upward, then a model for the state of the cannonball is given by (equation (12) of Section 1.3). Since the last differential equation is the same as where we take g = 32 ft /s2. Find the velocity v(t) of the cannonball at time t.(b) Use the result obtained in part (a) to determine the height s(t) of the cannonball measured from ground level. Find the maximum height attained by the cannonball.

Step-by-Step Solution:

Solution:Step 1: In this problem, we have to find the initial value condition for the given situation when initial velocity v0=300 with weight cannonball=16 poundsa) Given that Therefore the velocity is And where g = 32 ft /s2. Now we have to find the velocity v(t) of the cannonball at time t.

Step 2 of 3

Step 3 of 3

##### ISBN: 9781111827052

The answer to “How High?—No Air Resistance Suppose a small cannonball weighing 16 pounds is shot vertically upward, as shown in Figure 3.1.10, with an initial velocity v0 = 300 ft/s. The answer to the question “How high does the cannonball go?” depends on whether we take air resistance into account.(a) Suppose air resistance is ignored. If the positive direction is upward, then a model for the state of the cannonball is given by (equation (12) of Section 1.3). Since the last differential equation is the same as where we take g = 32 ft /s2. Find the velocity v(t) of the cannonball at time t.(b) Use the result obtained in part (a) to determine the height s(t) of the cannonball measured from ground level. Find the maximum height attained by the cannonball.” is broken down into a number of easy to follow steps, and 130 words. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This full solution covers the following key subjects: cannonball, resistance, air, suppose, upward. This expansive textbook survival guide covers 109 chapters, and 4053 solutions. Since the solution to 36E from 3.1 chapter was answered, more than 898 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 36E from chapter: 3.1 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10.

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