Answered: Suppose you are standing 100 ft away…

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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Suppose you are standing 100 ft away from a 100 ft tall building. Suppose you keep your eyes fixed on a basketball that is dropped straight downwards from the very top of the building. At the moment when the ball hits the ground, the angle of your head is decreasing at a rate of 0.1 radians per second. How fast is the ball moving at the moment when it hits the ground?

Expert Solution

Step 1

Given :

Height of the building, H = 100 ft

Distance from the building, D = 100 ft

Angular speed of the head watching the ball fall, $ω$ = 0.1 rad/s

Required : Velocity of the ball when it hits the ground, v

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