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Problem 5: A student throws a water balloon with speed vo from a height h = 1.82 m at an angle 0 = 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. d. Part (a) What is the position vector, Rarget 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. Expression : Rtarget = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a,. B. 0, i, j, d. g, h, m, P, r, t, vo Part (b) In terms of the variables in the problem, determine the time, 1, after the launch it takes the balloon to reach the target. Your answer should not include h. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, d, g, h, i, k, m, P, r, t, vo Part (c) Create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, v. g, and 0. Expression : y(1) = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, i, j, d, g, h, m, P, r, t, vo Part (d) Determine the magnitude of the balloon's initial velocity, vo, in meters per second, by eliminating t from the previous two expressions. Numeric : Anumeric value is expected and not an expression. 'o =

Problem 5: A student throws a water balloon with speed vo from a height h = 1.82 m at an angle 0 = 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. d. Part (a) What is the position vector, Rarget 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. Expression : Rtarget = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a,. B. 0, i, j, d. g, h, m, P, r, t, vo Part (b) In terms of the variables in the problem, determine the time, 1, after the launch it takes the balloon to reach the target. Your answer should not include h. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, d, g, h, i, k, m, P, r, t, vo Part (c) Create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, v. g, and 0. Expression : y(1) = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, i, j, d, g, h, m, P, r, t, vo Part (d) Determine the magnitude of the balloon's initial velocity, vo, in meters per second, by eliminating t from the previous two expressions. Numeric : Anumeric value is expected and not an expression. 'o =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please answer parts a - c

Problem 5: A student throws a water balloon with speed vo from a height h = 1.82 m at an angle 0 = 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. d. 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. Expression : Rtarget = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, i, j, d, g, h, m, P, r, t, vo 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. Expression : t = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, d, g, h, i, k, m, P, r, t, vo Part (c) Create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, v,, 8, and 0. Expression : y(t) = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, i, j, d, g, h, m, P, r, t, Vo Part (d) Determine the magnitude of the balloon's initial velocity, vo, in meters per second, by eliminating t from the previous two expressions. Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 5: A student throws a water balloon with speed vo from a height h = 1.82 m at an angle 0 = 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. d. 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. Expression : Rtarget = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, i, j, d, g, h, m, P, r, t, vo 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. Expression : t = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, d, g, h, i, k, m, P, r, t, vo Part (c) Create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, v,, 8, and 0. Expression : y(t) = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), sin(0), a, ß, 0, i, j, d, g, h, m, P, r, t, Vo Part (d) Determine the magnitude of the balloon's initial velocity, vo, in meters per second, by eliminating t from the previous two expressions. Numeric : A numeric value is expected and not an expression.
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