[5%) Problem 3: A student throws a water balloon with speed v0 from a height J1 = I. 74' m at an angle 9 = 23 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. Gillcexperttaxmn D a 25% Part (a) \"That is the position vector, Rurg, that originates from the balloon's original position and terminates at the target? Put this in terms of F2 and d, and represent it as a vector using i and j. _ Grade Summer}r nget - 0% Deductions Potential 100% Submissions Attempts remaining: E {0% per attempt] detailed View Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. B 3 25%: Part (b) In terms of the variables in the problem, determine the time, t, afterthe launch it takes the balloon to reach the target. Your answer should not include .74. B 3 25%: Part (c) Create an expression for the balloon=s vertical position as a function oftime,y(t), in terms oft, v0, 3', and 6. E 3 25%: Part (d) Determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating I from the previous two expressions. .-\\.I.I comment 9 2022 MCI-L LLC