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Name: A student throws a water balloon with speed v0 from a height h = 1.76
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Description: A student throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 24° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 9.5 m from the student’s feet. Assume that the balloon mov

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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A student throws a water balloon with speed v₀ from a height h = 1.76 m at an angle θ = 24° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 9.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position.

Determine the magnitude of the balloon's initial velocity, v₀, in meters per second, by eliminating t from these two expressions:

t = d/( v₀ cos(θ) )

y(t) = ( v₀ sin(θ) ) t - ( g t² )/( 2 )

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