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Name: If I shot an arrow straight up into the air, it would leave my bow tra
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Description: If I shot an arrow straight up into the air, it would leave my bow traveling at a rate of 140 feet per second. Assume that the arrow is so "slick", that there is no friction (or air resistance). Without gravity it would continue to travel at this spe

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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If I shot an arrow straight up into the air, it would leave my bow traveling at a rate of 140 feet per second. Assume that the arrow is so "slick", that there is no friction (or air resistance). Without gravity it would continue to travel at this speed. After 8 seconds it would have traveled 8*140 feet. But, gravity will pull it back to the earth. The gravitational pull is measured as 16t2. So the height at any time t can be measured by the function h(t) = 140t - 16t2. At what time t will the arrow reach it's maximum height?

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$G i v e n I n i t i a l v e l o c i t y (u) = 140 m / s e q u a t i o n o f h e i g h t h (t) = 140 t - 16 t^{2}$

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