(III) Revisit Example 3–7, and assume that the boy with the slingshot is below the boy in the tree (Fig. 3–40) and so aims upward, directly at the boy in the tree. Show that again the boy in the tree makes the wrong move by letting go at the moment the water balloon is shot. vo FIGURE 3-40 Problem 36. CONCEPTUAL EXAMPLE 3–7 The wrong strategy. A boy on a small hill aims his water-balloon slingshot horizontally, straight at a second boy hanging from a tree branch a distance d away, Fig. 3-24. At the instant the water balloon is released, the second boy lets go and falls from the tree, hoping to avoid being hit. Show that he made the wrong move. (He hadn't studied physics yet.) Ignore air resistance. ty=0 y RESPONSE Both the water balloon and the boy in the tree start falling at the same instant, and in a time t they each fall the same vertical distance y = }gt², FIGURE 3-24 Example 3-7. much like Fig. 3–19. In the time it takes the water balloon to travel the horizontal distance d, the balloon will have the same y position as the falling boy. Splat. If the boy had stayed in the tree, he would have avoided the humiliation.

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(III) Revisit Example 3–7, and assume that the boy with
the slingshot is below the boy in the tree (Fig. 3–40) and
so aims upward, directly at the boy in the tree. Show that
again the boy in the tree makes the wrong move by letting
go at the moment the water balloon is shot.
vo
FIGURE 3-40 Problem 36.
Transcribed Image Text:(III) Revisit Example 3–7, and assume that the boy with the slingshot is below the boy in the tree (Fig. 3–40) and so aims upward, directly at the boy in the tree. Show that again the boy in the tree makes the wrong move by letting go at the moment the water balloon is shot. vo FIGURE 3-40 Problem 36.
CONCEPTUAL EXAMPLE 3–7 The wrong strategy. A boy on a small hill
aims his water-balloon slingshot horizontally, straight at a second boy hanging from
a tree branch a distance d away, Fig. 3-24. At the instant the water balloon is released,
the second boy lets go and falls from the tree, hoping to avoid being hit. Show that
he made the wrong move. (He hadn't studied physics yet.) Ignore air resistance.
ty=0
y
RESPONSE Both the water balloon and the boy in the tree start falling at the
same instant, and in a time t they each fall the same vertical distance y = }gt², FIGURE 3-24 Example 3-7.
much like Fig. 3–19. In the time it takes the water balloon to travel the horizontal
distance d, the balloon will have the same y position as the falling boy. Splat. If
the boy had stayed in the tree, he would have avoided the humiliation.
Transcribed Image Text:CONCEPTUAL EXAMPLE 3–7 The wrong strategy. A boy on a small hill aims his water-balloon slingshot horizontally, straight at a second boy hanging from a tree branch a distance d away, Fig. 3-24. At the instant the water balloon is released, the second boy lets go and falls from the tree, hoping to avoid being hit. Show that he made the wrong move. (He hadn't studied physics yet.) Ignore air resistance. ty=0 y RESPONSE Both the water balloon and the boy in the tree start falling at the same instant, and in a time t they each fall the same vertical distance y = }gt², FIGURE 3-24 Example 3-7. much like Fig. 3–19. In the time it takes the water balloon to travel the horizontal distance d, the balloon will have the same y position as the falling boy. Splat. If the boy had stayed in the tree, he would have avoided the humiliation.
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