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 19 feet away. The box is 24 inches tall and 15 inches wide (see figure). A child tosses a ball with an initial height of 14 inches and an angle of 60o from the horizontal. If the initial speed of the ball is 25 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.]
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24 inches
19 feet
15 inches
[The figure not necessarily drawn to scale.]
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