A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 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 the previous two expressions.

A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 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 the previous two expressions.

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Description: A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 m from the student’s feet. Assume that the ballo

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...

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A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 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. 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.
A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 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. What is the position vector, Rtarget, that originates from the balloon's original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j.
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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 (a) What is the position vector, Rtarget, that originates from the balloon's original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j. 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. Part (c) Create an expression for the balloon’s vertical position as a function of time, y(t), in terms of t, vo, g, and θ.
A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 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. Create an expression for the balloon’s vertical position as a function of time, y(t), in terms of t, vo, g, and θ.