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The missile at A takes off from rest and rises vertically

Engineering Mechanics: Statics & Dynamics | 14th Edition | ISBN: 9780133951929 | Authors: Russell C. Hibbeler ISBN: 9780133951929 123

Solution for problem 12-99 Chapter 12

Engineering Mechanics: Statics & Dynamics | 14th Edition

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Engineering Mechanics: Statics & Dynamics | 14th Edition | ISBN: 9780133951929 | Authors: Russell C. Hibbeler

Engineering Mechanics: Statics & Dynamics | 14th Edition

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Problem 12-99

The missile at A takes off from rest and rises vertically to B, where its fuel runs out in 8 s. If the acceleration varies with time as shown, determine the missiles height hB and speed vB. If by internal controls the missile is then suddenly pointed 45 as shown, and allowed to travel in free flight, determine the maximum height attained, hC, and the range R to where it crashes at D.

Step-by-Step Solution:

Problem 12-99

The missile at A takes off from rest and rises vertically to B, where its fuel runs out in 8 s. If the acceleration varies with time as shown, determine the missiles height hB and speed vB. If by internal controls the missile is then suddenly pointed 45 as shown, and allowed to travel in free flight, determine the maximum height attained, hC, and the range R to where it crashes at D.

Step by step solution

Step 1 of 4

In the first part we calculate height and velocity in point B:After integrating twice,we get an equation for height as a function of time:

Step 2 of 4

Chapter 12, Problem 12-99 is Solved
Step 3 of 4

Textbook: Engineering Mechanics: Statics & Dynamics
Edition: 14
Author: Russell C. Hibbeler
ISBN: 9780133951929

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The missile at A takes off from rest and rises vertically