Page 73- Practice Problem 3.3 If air resistance is ignored, what initial speed is required for a range of 20m? Answer: 36.1 m/s.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Chapter 3: Practice Problems

**Name:** ___________________________

**G#:** ___________________________

---

### Page 66 - Practice Problem 3.1
Suppose you reverse the car’s motion, so that it retraces its path in the opposite direction in the same time. Find the components of the average velocity of the car and the magnitude and direction of the average velocity.  

**Answer:**  
- Components: -6.0 m/s, -8.0 m/s  
- Magnitude: -10.0 m/s  
- Direction: 233°

---

### Page 69 - Practice Problem 3.2
Suppose that as the car continues to move, it has velocity components \( v_x = 3.5 \) m/s and \( v_y = 1.0 \) m/s at time \( t_3 = 3.0 \) s. What are the magnitude and direction of the average acceleration between \( t_2 = 2.0 \) s and \( t_3 = 3.0 \) s?  

**Answer:** 
- Magnitude: 4.7 m/s²  
- Direction: -58° from +x.

---

### Page 73 - Practice Problem 3.3
If air resistance is ignored, what initial speed is required for a range of 20 m?  

**Answer:** 
- 36.1 m/s.

---

### Page 74 - Practice Problem 3.4
If the ball could continue to travel below its original level (through an appropriately shaped hole in the ground), then negative values of y corresponding to times greater than 6.04 s would be possible. Compare the ball’s position and velocity 8.00 s after the start of its flight.  

**Answers:** 
- Position: \( x = 178 \) m, \( y = -76.8 \) m  
- Velocity: \( v_x = 22.2 \) m/s, \( v_y = -48.8 \) m/s.

---

### Page 75 - Practice Problem 3.5
Show the range is the same when the launch angle is 30° as when it is 60° and that the range for any launch angle \(\theta\) is the same as for the complementary angle (90° - \(\theta\)).  

**Answer:** 
- \( \sin \theta \sin(
Transcribed Image Text:Chapter 3: Practice Problems **Name:** ___________________________ **G#:** ___________________________ --- ### Page 66 - Practice Problem 3.1 Suppose you reverse the car’s motion, so that it retraces its path in the opposite direction in the same time. Find the components of the average velocity of the car and the magnitude and direction of the average velocity. **Answer:** - Components: -6.0 m/s, -8.0 m/s - Magnitude: -10.0 m/s - Direction: 233° --- ### Page 69 - Practice Problem 3.2 Suppose that as the car continues to move, it has velocity components \( v_x = 3.5 \) m/s and \( v_y = 1.0 \) m/s at time \( t_3 = 3.0 \) s. What are the magnitude and direction of the average acceleration between \( t_2 = 2.0 \) s and \( t_3 = 3.0 \) s? **Answer:** - Magnitude: 4.7 m/s² - Direction: -58° from +x. --- ### Page 73 - Practice Problem 3.3 If air resistance is ignored, what initial speed is required for a range of 20 m? **Answer:** - 36.1 m/s. --- ### Page 74 - Practice Problem 3.4 If the ball could continue to travel below its original level (through an appropriately shaped hole in the ground), then negative values of y corresponding to times greater than 6.04 s would be possible. Compare the ball’s position and velocity 8.00 s after the start of its flight. **Answers:** - Position: \( x = 178 \) m, \( y = -76.8 \) m - Velocity: \( v_x = 22.2 \) m/s, \( v_y = -48.8 \) m/s. --- ### Page 75 - Practice Problem 3.5 Show the range is the same when the launch angle is 30° as when it is 60° and that the range for any launch angle \(\theta\) is the same as for the complementary angle (90° - \(\theta\)). **Answer:** - \( \sin \theta \sin(
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