# hw9-sol - Page 1 Assignment 9 100 points total Section 17.2...

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Unformatted text preview: Page 1 Assignment 9 100 points total Section 17.2 Problem 2 : the velocity vector is given by: = ? ?? Â¡ 2 + 3 ?Â¢Ý… + ? ?? Â¡ 4 + ?Â¢Ý† + ? ?? Â¡ 1 âˆ’ ?Â¢Ý‡ Â£ = 3 Ý… + Ý† âˆ’ Ý‡ Â£ . The acceleration vector is given by: = ? ?? Â¡ 3 Â¢Ý… + ? ?? Â¡ 1 Â¢Ý† + ? ?? Â¡âˆ’ 1 Â¢Ý‡ Â£ = 0 Â£ Problem 10 : The velocity vector is given by: = ? ?? Â¡Â¡? âˆ’ 1 Â¢ 2 Â¢Ý… + ? ?? Â¡ 2 Â¢Ý† + ? ?? Â¡ 2 ? 3 âˆ’ 3 ? 2 Â¢Ý‡ Â£ = 2 Â¡? âˆ’ 1 Â¢Ý… + + Â¡ 6 ? 2 âˆ’ 6 ?Â¢Ý‡ Â£ . The speed is given by: Â¤ Â¤ = Â¥ Â¦ 2 Â¡? âˆ’ 1 Â¢Â§ 2 + Â¡ 6 ? 2 âˆ’ 6 ?Â¢ 2 = 2 Â¨? âˆ’ 1 Â¨Â© 1 + 9 ? 2 The particle stops when = 0 Â£ so when 2 Â¡? âˆ’ 1 Â¢ = 6 ? 2 âˆ’ 6 ? = 0 . Since these are all satisfies only by ? = 1 , this is the only time that the particle stops. Problem 14 : We have ÂªÂ«? = Â¬ Â©Â¡âˆ’Âª 2 sin Â¡Âª ? Â¢Â¢ 2 + Â¡Âª ? cos Â¡Âª ? Â¢Â¢ 2 ?? 1 = Â¬ Âª ? ?? 1 = Âª âˆ’ 1 This is the length of the arc of a unit circle from the point Â¡ cos 1 , sin 1 Â¢ to Â¡ cos Âª...
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hw9-sol - Page 1 Assignment 9 100 points total Section 17.2...

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