At Erik's Sixth-Year Birthday Party, the Children Are Playing a Game

Essay

At Erik's sixth-year birthday party, the children are playing a game where each contestant tries to throw a tennis ball into a cardboard box located 16 feet away. The box is 18 inches tall and 24 inches wide (see figure). A child tosses a ball with an initial height of 16 inches and an angle of 45^o from the horizontal. If the initial speed of the ball is 30 feet per second, will the ball land in the box? Show all of your work. [Ignore the radius of the ball. Assume that the only force acting on the ball is gravity.Assume that the ball is "on-target" and that there is nothing behind the box to cause a rebound. Note that g = 32 ft/s² = 384 in/s².] [The figure not necessarily drawn to scale.]