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

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 65AP: A daredevil is shot out of a cannon at 45.0 to the horizontal with an initial speed of 25.0 m/s. A...

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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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