6.) Apparently, Felix chose this tower as his testing location due to a strangely soft and cushiony rock formation at the base. Meaning the cats will land unharmed. a. If Felix flings the felines flat, meaning no initial vertical velocity, how long will it take the cats to land on a platform 10 meters below? Just consider the one, vertical, dimension (10 points)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Use kinematic equations 

### Physics Problem: Free Fall

**Scenario:**  
Felix chose a tower with a soft and cushioning rock formation as his testing location, ensuring the cats will land unharmed.

**Question:**  
If Felix flings the cats horizontally (no initial vertical velocity), how long will it take the cats to land on a platform 10 meters below? Consider only the vertical dimension.

**Given:**
- Acceleration due to gravity \( a = 9.8 \, \text{m/s}^2 \)
- Distance \( d = 10 \, \text{m} \)

**To Find:**
- Time \( t \) it takes for the cats to fall.

This is a classic physics problem involving free fall where the only force acting on the object is gravity. The equation used to solve for time in free fall is:
\[ d = \frac{1}{2} a t^2 \]
Transcribed Image Text:### Physics Problem: Free Fall **Scenario:** Felix chose a tower with a soft and cushioning rock formation as his testing location, ensuring the cats will land unharmed. **Question:** If Felix flings the cats horizontally (no initial vertical velocity), how long will it take the cats to land on a platform 10 meters below? Consider only the vertical dimension. **Given:** - Acceleration due to gravity \( a = 9.8 \, \text{m/s}^2 \) - Distance \( d = 10 \, \text{m} \) **To Find:** - Time \( t \) it takes for the cats to fall. This is a classic physics problem involving free fall where the only force acting on the object is gravity. The equation used to solve for time in free fall is: \[ d = \frac{1}{2} a t^2 \]
**Problem Statement: Physics of Projectile Motion**

b. If the flung felines fly with an initial velocity of 3.4 m/s at an angle of 37 degrees above the horizontal, how far is it to the bottom of the tower if it takes them 4.0 seconds to land? (15 points)

- Given: 
  - Initial Velocity (Vi) = 3.4 m/s
  - Angle = 37°
  - Time (T) = 4.0 s

c. How far away from the base of the tower will they land? (10 points)

---

**Explanation:**

The problem involves calculating the range and height of a projectile (in this case, the "flung felines") launched at an angle with an initial velocity. Students are expected to apply the equations of motion, breaking down the velocity into horizontal and vertical components, and using kinematic equations to find the required distances.
Transcribed Image Text:**Problem Statement: Physics of Projectile Motion** b. If the flung felines fly with an initial velocity of 3.4 m/s at an angle of 37 degrees above the horizontal, how far is it to the bottom of the tower if it takes them 4.0 seconds to land? (15 points) - Given: - Initial Velocity (Vi) = 3.4 m/s - Angle = 37° - Time (T) = 4.0 s c. How far away from the base of the tower will they land? (10 points) --- **Explanation:** The problem involves calculating the range and height of a projectile (in this case, the "flung felines") launched at an angle with an initial velocity. Students are expected to apply the equations of motion, breaking down the velocity into horizontal and vertical components, and using kinematic equations to find the required distances.
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