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solution03_pdf - ortiz(lno236 Homework 2 Weathers(17101...

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ortiz (lno236) – Homework 2 – Weathers – (17101) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd 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 = 59 . 4 m / s, β = 4 . 92 m / s 3 , and t is in seconds. ±ind the average acceleration in the time interval From t = 0 to 1 . 98 s. Correct answer: - 9 . 7416 m / s 2 . Explanation: Let : α = 59 . 4 m / s , β = 4 . 92 m / s 3 , and t f = 1 . 98 s . v i = α - β t 2 i = 59 . 4 m / s - (4 . 92 m / s 3 ) (0 s) 2 = 59 . 4 m / s , v f = α - β t 2 f = 59 . 4 m / s - (4 . 92 m / s 3 ) (1 . 98 s) 2 = 40 . 1116 m / s , so the average acceleration is ¯ a = v f - v i t f - t i = 40 . 1116 m / s - 59 . 4 m / s 1 . 98 s - 0 s = - 9 . 7416 m / s 2 . 002 (part 2 oF 2) 10.0 points Determine the acceleration oF the particle at t f = 1 . 98 s. Correct answer: - 19 . 4832 m / s 2 . Explanation: Let : t f = 1 . 98 s . Applying calculus, the acceleration is a ( t ) = d v dt = d dt ( α - β t 2 ) = - 2 β t = - 2 (4 . 92 m / s 3 ) (1 . 98 s) = - 19 . 4832 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 55900 m / s to a speed oF 4 . 19 × 10 6 m / s in a distance oF 3 . 13 cm. What is its acceleration?

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solution03_pdf - ortiz(lno236 Homework 2 Weathers(17101...

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