Use the figure below to answer problems 1 and 2. 1. The diagram shows the trajectory of a ball that is thrown horizontally from the top of a building. The ball's vertical and horizontal velocity vectors, along with the resultant vectors, are also indicated. If the ball takes 3.0 s to reach the ground, what is the ball's vertical speed by the time it reaches the ground? A 9.8 m/s B 29 m/s C 58 m/s D 60 m/s

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Chapter1: Units, Trigonometry. And Vectors
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**Motion in Two Dimensions**

**Choose the best answer for each of the following questions. Mark your answers on the answer sheet provided by your teacher.**

**Use the figure below to answer problems 1 and 2.**

*Diagram Description:*
The diagram shows the trajectory of a ball that is thrown horizontally from the top of a building. The ball’s vertical and horizontal velocity vectors, along with the resultant vectors, are indicated.

**1.** The diagram shows the trajectory of a ball that is thrown horizontally from the top of a building. The ball’s vertical and horizontal velocity vectors, along with the resultant vectors, are also indicated. If the ball takes 3.0 s to reach the ground, what is the ball’s vertical speed by the time it reaches the ground?

- A) 9.8 m/s  
- B) 29 m/s  
- C) 58 m/s  
- D) 60 m/s  

**2.** If the ball’s initial horizontal velocity is 1.9 m/s, how far from the building is the ball when it hits the ground?

- A) 5.7 m  
- B) 11.4 m  
- C) 32 m  

**3.** In a penalty kick, a soccer player kicks the ball from ground level with an initial velocity of 25.0 m/s, 20.0° above the horizontal. Assume that air resistance is negligible. What is the maximum height, \( y_{\text{max}} \), of the soccer ball?

- A) 0.51 m  
- B) 3.2 m  
- C) 3.7 m  
- D) 8.6 m  

**4.** What is the flight time of the soccer ball in the previous problem?

- A) 0.76 s  
- B) 0.87 s  
- C) 1.3 s  
- D) 1.7 s
Transcribed Image Text:**Motion in Two Dimensions** **Choose the best answer for each of the following questions. Mark your answers on the answer sheet provided by your teacher.** **Use the figure below to answer problems 1 and 2.** *Diagram Description:* The diagram shows the trajectory of a ball that is thrown horizontally from the top of a building. The ball’s vertical and horizontal velocity vectors, along with the resultant vectors, are indicated. **1.** The diagram shows the trajectory of a ball that is thrown horizontally from the top of a building. The ball’s vertical and horizontal velocity vectors, along with the resultant vectors, are also indicated. If the ball takes 3.0 s to reach the ground, what is the ball’s vertical speed by the time it reaches the ground? - A) 9.8 m/s - B) 29 m/s - C) 58 m/s - D) 60 m/s **2.** If the ball’s initial horizontal velocity is 1.9 m/s, how far from the building is the ball when it hits the ground? - A) 5.7 m - B) 11.4 m - C) 32 m **3.** In a penalty kick, a soccer player kicks the ball from ground level with an initial velocity of 25.0 m/s, 20.0° above the horizontal. Assume that air resistance is negligible. What is the maximum height, \( y_{\text{max}} \), of the soccer ball? - A) 0.51 m - B) 3.2 m - C) 3.7 m - D) 8.6 m **4.** What is the flight time of the soccer ball in the previous problem? - A) 0.76 s - B) 0.87 s - C) 1.3 s - D) 1.7 s
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