A student throws a water balloon with speed v 0 from a height h = 1.98 mat
Question:
A student throws a water balloon with speed v 0 from a height h = 1.98 mat an angle ? = 21? above the horizontal toward a target on the pound. The target is located a horizontal distanced d = 65 in 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, R target , 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.
R target = (v 0 cos(?)t) i - (v 0 sin(?)t - 0.5 gt 2 ) 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 no: include h.
r = (6.5/v 0 sin(?))
(c) Create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, v 0 , 8, and ?
(d) Determine the magnitude of the balloon's initial velocity v 0 in meters per second by eliminating t from the previous two Impressions.
University Physics with Modern Physics
ISBN: 978-0321501219
12th Edition
Authors: Hugh D. Young, Roger A. Freedman, Lewis Ford