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

Question 47

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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 45o 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.] 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<sup>o</sup> 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/s<sup>2</sup> = 384 in/s<sup>2</sup>.]   [The figure not necessarily drawn to scale.] [The figure not necessarily drawn to scale.]

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