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Get Full Access to Engineering Mechanics: Statics & Dynamics - 14 Edition - Chapter 12 - Problem 12-99
Get Full Access to Engineering Mechanics: Statics & Dynamics - 14 Edition - Chapter 12 - Problem 12-99

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# The missile at A takes off from rest and rises vertically

ISBN: 9780133951929 123

## Solution for problem 12-99 Chapter 12

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

Step 3 of 4

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