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?
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?
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, = 0.1 rad/s
Required : Velocity of the ball when it hits the ground, v
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