You are riding your bike in a straight line with a speed of 10 m/s. You accidentally drop your calculator out of your backpack from a height of 2.0 m above the ground. When it hits the ground, where is the calculator in relation to the position of your backpack? Neglect air resistance - note that this might make your answer non-intuitive! a. You and your backpack are 6.3 m ahead of the calculator. b. You and your backpack are directly above the calculator. C. You and your backpack are 6.3 m behind the calculator. d. None of the above. ess Academy Charter Schools Principles of Physics, Unit 3 5. You want to maximize the time your ball stays in the air. Assuming you throw it with speed 30 m/s, which angle should you throw it at? a. 0° b. 30° с. 60° d. 90°

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**Principles of Physics, Unit 3**

---

**5.** You want to maximize the time your ball stays in the air. Assuming you throw it with speed 30 m/s, which angle should you throw it at?

   a. 0°

   b. 30°

   c. 60°

   d. 90°

For questions 6-8, consider a projectile that is fired at 120 m/s, at an angle of 60 degrees.

**6.** What are the initial components of its velocity?

   a. [60 m/s, 104 m/s]

   b. [104 m/s, 60 m/s]

[Note: There are no graphs or diagrams in this text.]
Transcribed Image Text:**Principles of Physics, Unit 3** --- **5.** You want to maximize the time your ball stays in the air. Assuming you throw it with speed 30 m/s, which angle should you throw it at? a. 0° b. 30° c. 60° d. 90° For questions 6-8, consider a projectile that is fired at 120 m/s, at an angle of 60 degrees. **6.** What are the initial components of its velocity? a. [60 m/s, 104 m/s] b. [104 m/s, 60 m/s] [Note: There are no graphs or diagrams in this text.]
**Transcription:**

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**Principles of Physics, Unit 3**

**1.** You are riding your bike in a straight line with a speed of 10 m/s. You accidentally drop your calculator out of your backpack from a height of 2.0 m above the ground. When it hits the ground, where is the calculator in relation to the position of your backpack? Neglect air resistance - note that this might make your answer non-intuitive!

a. You and your backpack are 6.3 m ahead of the calculator.  
b. You and your backpack are directly above the calculator.  
c. You and your backpack are 6.3 m behind the calculator.  
d. None of the above.

---

**5.** You want to maximize the time your ball stays in the air. Assuming you throw it with speed 30 m/s, which angle should you throw it at?

a. 0°  
b. 30°  
c. 60°  
d. 90°  

---

**Educational Note:**  
In these physics problems, students are asked to consider the effects of initial speed, angles, and gravitational forces in real-world scenarios. Problem 1 involves calculating the relative motion of a dropped object while in transit, illustrating the concept of projectile motion and horizontal displacement. Problem 5 explores the projectile motion of an object launched at various angles to determine which angle allows for maximum air time, emphasizing the importance of launch angles in determining flight duration and trajectory.
Transcribed Image Text:**Transcription:** --- **Principles of Physics, Unit 3** **1.** You are riding your bike in a straight line with a speed of 10 m/s. You accidentally drop your calculator out of your backpack from a height of 2.0 m above the ground. When it hits the ground, where is the calculator in relation to the position of your backpack? Neglect air resistance - note that this might make your answer non-intuitive! a. You and your backpack are 6.3 m ahead of the calculator. b. You and your backpack are directly above the calculator. c. You and your backpack are 6.3 m behind the calculator. d. None of the above. --- **5.** You want to maximize the time your ball stays in the air. Assuming you throw it with speed 30 m/s, which angle should you throw it at? a. 0° b. 30° c. 60° d. 90° --- **Educational Note:** In these physics problems, students are asked to consider the effects of initial speed, angles, and gravitational forces in real-world scenarios. Problem 1 involves calculating the relative motion of a dropped object while in transit, illustrating the concept of projectile motion and horizontal displacement. Problem 5 explores the projectile motion of an object launched at various angles to determine which angle allows for maximum air time, emphasizing the importance of launch angles in determining flight duration and trajectory.
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