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Engineering and Tech / Engineering Mechanics: Dynamics 13 / Chapter 12 / Problem 12-33

Engineering Mechanics: Dynamics | 13th Edition | ISBN: 9780132911276 | Authors: Russell C. Hibbele

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12-32. The acceleration of a particle traveling along a

Chapter 12, Problem 12-33

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QUESTION:

At t = 0 bullet A is fired vertically with an initial (muzzle) velocity of 450 m/s. When t = 3 s, bullet B is fired upward with a muzzle velocity of 600 m/s. Determine the lime t, after A is fired, as to when bullet B passes bullet A. At what altitude does this occur?

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QUESTION:

At t = 0 bullet A is fired vertically with an initial (muzzle) velocity of 450 m/s. When t = 3 s, bullet B is fired upward with a muzzle velocity of 600 m/s. Determine the lime t, after A is fired, as to when bullet B passes bullet A. At what altitude does this occur?

ANSWER:

Step 1 of 4

From Newton's laws of motion, we know that:

is the initial velocity of the bullet,

is the displacement of the bullet,

And acceleration will be acceleration due to gravity, so .

For bullet : Initial velocity of bullet and is given as ,

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