An archer tests various arrowheads by shooting arrows at a pumpkin that is suspended from a tree branch by a rope, as shown to the right. When struck head on by the arrow, the pumpkin
swings upward on the rope. The maximum angle that the rope makes with the vertical is different for each arrowhead that the archer tests. Each arrow, including its arrowhead, has the same
mass mand is shot with the same velocity vo toward the right
The arrowheads are made of different materials, however, and each behaves differently when it strikes the pumpkin, as described below.
- Embedded arrow Strikes the pumpkin and remains embedded, while the pumpkin swings to angle &emb
• Pass arrow Passes all the way through the pumpkin and continues traveling away from the archer, while the pumpkin swings to angle bass
- Bounce arrow. Bounces off the pumpkin back toward the archer, while the pumpkin swings to angle bounce
a Rank the three angles Gemb Bass and bounce from greatest to least in the spaces indicated below. Use"
three angles are the same, use the same number for their ranking
for the greatest angle, "2" for the next greatest and so on. If any two or all
_Gemb—_Bass_Bounce
b. In a clear, coherent, paragraph-length response that may also contain figures and/or equations, justify your ranking