A student throws a water balloon with speed v0 from a height h = 1.82 m at an angle θ = 33° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 6.5 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.  Part (b)  In terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. Your answer should not include h.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...
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Problem 5:  A student throws a water balloon with speed v0 from a height h = 1.82 m at an angle θ = 33° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 6.5 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.  Part (b)  In terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. Your answer should not include h.

 

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Step 1

According to the data given in the question, the diagram for projectile motion of the water balloon is as shown below.

Physics homework question answer, step 1, image 1

Here, d is the horizontal distance of the target

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