A student throws a water balloon with speed v0 from a height h = 1.92 m at an angle θ = 29° 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. a.) Determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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  A student throws a water balloon with speed v0 from a height h = 1.92 m at an angle θ = 29° 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.

a.) Determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions. 

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Transcribed Image Text:Vo h d Otheexpertta.com
Expert Solution
Step 1

The initial velocity of the balloon is denoted by v0.

The height of the water balloon is h =1.92 m.

The value of the angle θ=29°.

The horizontal distance of the target is d =9.5 m.

Assume the acceleration due to gravity of Earth as g =9.80 m/s2.

 

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