A ball is thrown vertically upward with an initial speed of 19.6 m/s. Sketch a graph for the position, velocity, and acceleration of the ball for the first five seconds of its motion. A woman with a package in her hand is riding in a hot air balloon which is climbing at a constant speed of 8.0 m/s. Holding the package out over the edge of the gondola, she releases it at the instant that it is 96 m above the ground.
a. How long does it take for the package to hit the ground?