5. You accidentally throw your car keys horizontally at 8.0 m/s from a cliff64-m high. How far from the base of the cliff should you look for thekeys? *

Answered: 5. You accidentally throw your car keys…

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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5. You accidentally throw your car keys horizontally at 8.0 m/s from a cliff
64-m high. How far from the base of the cliff should you look for the
keys? *

Expert Solution

Step 1

$I n i t i a l v e l o c i t y, u = 0 F i n a l v e l o c i t y, v = 8 m / s V e r t i c a l d i s p l a c e m e n t, y = 64 m A c c e l e r a t i o n d u e t o g r a v i t y, g = 9.81 m / s^{2} H o r i z o n t a l d i s p l a c e m e n t, x = ?$

The 3 Kinematic equations of motion are

$v = u + a t s = u t + \frac{1}{2} a t^{2} v^{2} = u^{2} + 2 a s$

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