A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s. Two seconds later a second ball is thrown upward from the same point with a velocity of 24 m/s. Derive an expression for the relative posi- tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s². For the two balls thrown in problem 6, how far above the earth will the two balls meet (i.e. what is their height when they pass each other)?

A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s. Two seconds later a second ball is thrown upward from the same point with a velocity of 24 m/s. Derive an expression for the relative posi- tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s². For the two balls thrown in problem 6, how far above the earth will the two balls meet (i.e. what is their height when they pass each other)?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A ball is thrown vertically upward from the surface of the earth with an initial
velocity of 30 m/s. Two seconds later a second ball is thrown upward from the
same point with a velocity of 24 m/s. Derive an expression for the relative posi-
tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec.
(neglect air resistance and assume acceleration of gravity is 9.81 m/s².
For the two balls thrown in problem 6, how far above the earth will the two balls
meet (i.e. what is their height when they pass each other)?

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Step 1: Determining the given variable

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Step 2: Finding expression of height h1 in terms of time t

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Step 3: Finding expression for height h2 in terms of t

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Step 4: Finding expression of velocity in terms of t

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Step 5: Finding relative position in terms of t

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Step 6: Finding relative velocity expression

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Step 7: Finding relative accleration

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Step 8: Finding time at which both balls meet

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Step 9: Finding height h at which the balls meet

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