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Name: In the figure, a ball is shot directly upward from the ground with an
Uploaded: 2024-03-20T06:57:47.000Z
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Description: In the figure, a ball is shot directly upward from the ground with an initial speed of v0 = 6.70 m/s. Simultaneously, a construction elevator cab begins to move upward from the ground with a constant speed of vc = 2.50 m/s. What maximum height does t

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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In the figure, a ball is shot directly upward from the ground with an initial speed of v₀ = 6.70 m/s. Simultaneously, a construction elevator cab begins to move upward from the ground with a constant speed of v_c = 2.50 m/s. What maximum height does the ball reach relative to (a) the ground and (b) the cab floor? At what rate does the speed of the ball change relative to (c) the ground and (d) the cab floor? (Give the magnitude of the rate of change)

Expert Solution

Step 1

given

intial speed = v₀ = 6.70m/s

constant speed = v_c = 2.50m/s

at maxium height velocity is zero = v = 0

from the kinematic equation

$v^{2} = v_{0}^{2} + 2 a h 0^{2} = {(6.70)}^{2} - 2 (9.8) h h = \frac{{(6.70)}^{2}}{2 (9.8)} = 2.29 m$

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