(III) Revisit Example 3–7, and assume that the boy with the slingshot is below the boy

Chapter 3, Problem 34P

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QUESTION:

(III) Revisit Example 3–7, and assume that the boy with the slingshot is below the boy in the tree (Fig. 3–36) 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.

                                

                           Figure 3-36 Problem 34

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QUESTION:

(III) Revisit Example 3–7, and assume that the boy with the slingshot is below the boy in the tree (Fig. 3–36) 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.

                                

                           Figure 3-36 Problem 34

ANSWER:

Solution 34 P

Step 1 of 3

We have to show that the boy in the tree makes the wrong move by letting go at the moment the water balloon is shot.

The boy makes a wrong move (colliding with water balloon ), if the boy and the balloon are at the same height and the same horizontal location at the same time after the balloon is shot.

The boy in the trees is at a distance up from the point at which the balloon is fired and the tree is at a horizontal distance from the point at which the balloon is fired as shown in the fig. below.

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