To determine The resultant velocity of the balloon. Explanation Procedure used: 1. Add the x -component of the given vectors to obtain R x . 2. Add the y -component of the given vectors to obtain R y . 3. Find the magnitude of the resultant R . Use the equation R = R x 2 + R y 2 . 4. Find the standard-position angle θ for the resultant R . Find the reference angle θ r e f for the resultant R by using the equation θ r e f = tan − 1 | R y | | R x | . Then, use the reference angle and the quadrant of R to determine the standard position angle θ . Calculation: The balloon rises vertically at 3.5 m/s and horizontally at 5 m/s. Sketch the figure of the corresponding vectors as shown below in Figure 1. From Figure 1, it is observed that the resultant velocity is represented as V . By the above mentioned procedure, the magnitude of the resultant velocity V is, V = V x 2 + V y 2 = ( 5 ) 2 + 3

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 9, Problem 53RE

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The resultant velocity of the balloon.

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Chapter 9, Problem 52RE

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Chapter 9 Solutions

EBK BASIC TECHNICAL MATHEMATICS

Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

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