Question

A standard issue water balloon launcher is aimed and fired so that a propelled balloon impacts a dormitory window that lies 8 feet above level ground. The position of the balloon while it is in the air t seconds after the launch is given by the position vector: ?⃗(?) = (10?)?̂+(−16? 2 + 24?)?̂. Distances are measured in feet. You may assume that the balloon hits the window on the way down rather than on the way up. a) Find the initial velocity and the initial speed of the water balloon. b) How long, in seconds, after launching did the balloon hit the window? c) How far away from the launch site is the base of the dormitory building?

Answer 1