(XC) Sally Science hits a golf shot that travels at 31.88 m/s. The shot strikes a tree and bounces back to the tee at 7.97 m/s (exactly one-fourth the initial speed). The round trip from tee to tree to tee again took exactly 3.82 seconds. How far away is the tree from the tee?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
13. Please answer this ASAP. It's pyshics.
![**Problem 13:**
Sally Science hits a golf shot that travels at 31.88 m/s. The shot strikes a tree and bounces back to the tee at 7.97 m/s (exactly one-fourth the initial speed). The round trip from tee to tree to tee again took exactly 3.82 seconds. How far away is the tree from the tee?
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### Explanation:
In this problem, we need to calculate the distance the golf ball travels to the tree and back, given its speeds and total travel time. Here is a breakdown of the approach:
1. **Initial Speed to the Tree**: 31.88 m/s
2. **Speed Back to the Tee**: 7.97 m/s (one-fourth of the initial speed)
3. **Total Round Trip Time**: 3.82 seconds
Let's denote the distance to the tree as \( d \).
- **Time to the Tree**: \( \frac{d}{31.88} \)
- **Time Back to the Tee**: \( \frac{d}{7.97} \)
The sum of these times is the total round trip time:
\[
\frac{d}{31.88} + \frac{d}{7.97} = 3.82
\]
Solving this equation will give us the distance \( d \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4768011f-de13-48a1-ae66-3737a1d723f0%2Fc31b5ce3-3296-4776-add2-d31ef19df1ba%2Fh86g58j_processed.png&w=3840&q=75)
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