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solution3_pdf - arellano(aa39398 Homework 2 Weathers(17101...

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arellano (aa39398) – Homework 2 – Weathers – (17101) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points The velocity of a particle moving along the x axis varies in time according to the expression v ( t ) = α - β t 2 where α = 56 . 3 m / s, β = 3 . 85 m / s 3 , and t is in seconds. Find the average acceleration in the time interval from t = 0 to 1 . 77 s. Correct answer: - 6 . 8145 m / s 2 . Explanation: Let : α = 56 . 3 m / s , β = 3 . 85 m / s 3 , and t f = 1 . 77 s . v i = α - β t 2 i = 56 . 3 m / s - (3 . 85 m / s 3 ) (0 s) 2 = 56 . 3 m / s , v f = α - β t 2 f = 56 . 3 m / s - (3 . 85 m / s 3 ) (1 . 77 s) 2 = 44 . 2383 m / s , so the average acceleration is ¯ a = v f - v i t f - t i = 44 . 2383 m / s - 56 . 3 m / s 1 . 77 s - 0 s = - 6 . 8145 m / s 2 . 002 (part 2 of 2) 10.0 points Determine the acceleration of the particle at t f = 1 . 77 s. Correct answer: - 13 . 629 m / s 2 . Explanation: Let : t f = 1 . 77 s . Applying calculus, the acceleration is a ( t ) = d v dt = d dt ( α - β t 2 ) = - 2 β t = - 2 (3 . 85 m / s 3 ) (1 . 77 s) = - 13 . 629 m / s 2 . 003 (part 1 of 2) 10.0 points An electron in the cathode ray tube of a tele- vision set enters a region where it acceler- ates uniformly from a speed of 40200 m / s to a speed of 4 . 72 × 10 6 m / s in a distance of 2 . 44 cm. What is its acceleration? Correct answer: 4 . 56491 × 10 14 m / s 2 .
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