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.

The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42

Problem 1: A student throws a water balloon at an initial angle 0 = 32° above the horizontal with initial speed vo from a height h=1.52 m. The target is located on the ground 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. Vo Otheexpertta.com

A student throws a water balloon with speed v0 from a height h = 1.82 m at an angle θ = 29° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 5.5 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) What is the position vector , Rtarget, that originates from the balloons 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. 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. C) Create an expression for the balloons vertical position as a function of time, y(t), in terms of t, v0, g, and θ.