An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is shot at a velocity of vo = 60.0 m/s, what is the speed of the arrow when it reaches the target? %3D Substitute values in the above equation v=/(60. 0)² – 2 (9. 8) (32. 0) =54. 52 "/ If the arrow is embedded in the target and they both fly off the wall together in an inelastic collision, at what speed will they leave the wall?

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Chapter1: Units, Trigonometry. And Vectors
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Could you help me with the highlightled part. Not sure which velocity to use, V intial when arrow was shot or V when arrow was embedded in target.

**Problem Statement:**

An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is shot at a velocity of \( v_0 = 60.0 \, \text{m/s} \), what is the speed of the arrow when it reaches the target?

**Solution:**

Substitute values in the above equation:

\[ 
v = \sqrt{(60.0)^2 - 2 \cdot (9.8) \cdot (32.0)}
\]

\[ 
= 54.52 \, \text{m/s}
\]

**Further Question:**

If the arrow is embedded in the target and they both fly off the wall together in an inelastic collision, at what speed will they leave the wall?
Transcribed Image Text:**Problem Statement:** An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is shot at a velocity of \( v_0 = 60.0 \, \text{m/s} \), what is the speed of the arrow when it reaches the target? **Solution:** Substitute values in the above equation: \[ v = \sqrt{(60.0)^2 - 2 \cdot (9.8) \cdot (32.0)} \] \[ = 54.52 \, \text{m/s} \] **Further Question:** If the arrow is embedded in the target and they both fly off the wall together in an inelastic collision, at what speed will they leave the wall?
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In an elastic collision, momentum is conserved before and after collision,

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