A cannonball is shot, horizontally, off the edge of a 12 meter tall cliff. The range of the ball is 30 m. a. How much time is the ball in flight? Equation Your answer include the unit b. In the space below, draw the vector addition that produces the final velocity of the ball (when it hits the ground!). Label Vx, Vyf, V₁ and 0. C. Calculate the final velocity of the cannonball Show your work: The ground (the vector sum of vand vyf)?

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Chapter1: Units, Trigonometry. And Vectors
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### Motion of a Cannonball

#### II. A cannonball is shot, horizontally, off the edge of a 12 meter tall cliff. The range of the ball is 30 m.

**a. How much time is the ball in flight?**

- **Equation:** [Equation not provided in the image]

- **Your answer:** [Answer not provided] include the unit ___________

**b. In the space below, draw the vector addition that produces the final velocity of the ball (when it hits the ground)! Label \(v_x\), \(v_{yf}\), \(v_f\), and \(\Theta\).**

- This part requires a drawing: The diagram shows a cliff with a cannon on top, firing a cannonball horizontally. The cannonball follows a projectile path, showing its trajectory with several dots representing its position at different times. It hits the ground some distance away from the base of the cliff. The following vectors should be labeled in the diagram:
  - \(v_x\): The horizontal component of the velocity.
  - \(v_{yf}\): The vertical component of the final velocity.
  - \(v_f\): The final velocity vector.
  - \(\Theta\): The angle between \(v_x\) and \(v_f\).

**c. Calculate the final velocity of the cannonball (the vector sum of \(v_x\) and \(v_{yf}\))?**

- **Show your work:** [Work not provided in the image]

This content aims to explain the principles behind projectile motion, including calculating the time of flight and final velocity vector by considering both horizontal and vertical components of the motion. The provided diagram visually represents the vector addition of velocities when the ball hits the ground.
Transcribed Image Text:### Motion of a Cannonball #### II. A cannonball is shot, horizontally, off the edge of a 12 meter tall cliff. The range of the ball is 30 m. **a. How much time is the ball in flight?** - **Equation:** [Equation not provided in the image] - **Your answer:** [Answer not provided] include the unit ___________ **b. In the space below, draw the vector addition that produces the final velocity of the ball (when it hits the ground)! Label \(v_x\), \(v_{yf}\), \(v_f\), and \(\Theta\).** - This part requires a drawing: The diagram shows a cliff with a cannon on top, firing a cannonball horizontally. The cannonball follows a projectile path, showing its trajectory with several dots representing its position at different times. It hits the ground some distance away from the base of the cliff. The following vectors should be labeled in the diagram: - \(v_x\): The horizontal component of the velocity. - \(v_{yf}\): The vertical component of the final velocity. - \(v_f\): The final velocity vector. - \(\Theta\): The angle between \(v_x\) and \(v_f\). **c. Calculate the final velocity of the cannonball (the vector sum of \(v_x\) and \(v_{yf}\))?** - **Show your work:** [Work not provided in the image] This content aims to explain the principles behind projectile motion, including calculating the time of flight and final velocity vector by considering both horizontal and vertical components of the motion. The provided diagram visually represents the vector addition of velocities when the ball hits the ground.
---

Your answer ______________ m/s    θ = ______________ °

---

This text is designed to collect specific numerical inputs for an educational exercise, likely in a physics or mathematics context. The first blank is intended for an answer in meters per second (m/s), which might pertain to velocity or speed. The second blank is for an angle, denoted by the Greek letter theta (θ), and the answer should be provided in degrees.

**Explanation:**
- The placeholder "Your answer ______________ m/s" is where students should input their calculated speed or velocity.
- "θ = ______________ °" is where students should input the angle in degrees.

This format is typically used in physics problems involving projectile motion, trigonometry exercises, or any scenarios requiring the calculation of these specific parameters.
Transcribed Image Text:--- Your answer ______________ m/s θ = ______________ ° --- This text is designed to collect specific numerical inputs for an educational exercise, likely in a physics or mathematics context. The first blank is intended for an answer in meters per second (m/s), which might pertain to velocity or speed. The second blank is for an angle, denoted by the Greek letter theta (θ), and the answer should be provided in degrees. **Explanation:** - The placeholder "Your answer ______________ m/s" is where students should input their calculated speed or velocity. - "θ = ______________ °" is where students should input the angle in degrees. This format is typically used in physics problems involving projectile motion, trigonometry exercises, or any scenarios requiring the calculation of these specific parameters.
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