When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation 2P т where P = 3.6 × 10ªW is the car's power output, m = 1200kg is its mass, and vz is in m/s. That is, the square of the car's velocity increases linearly with time. Part A What is the car's speed at t=13 s ? Express your answer using two significant figures. Π ΑΣΦ ? v = m/s Submit Request Answer Part B What is the car's speed at t=19 s ? Express your answer using two significant figures. ? 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
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When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 seconds is well modeled by the equation:

\[ v_x^2 = \frac{2P}{m} t \]

where \( P = 3.6 \times 10^4 \text{W} \) is the car's power output, \( m = 1200 \text{kg} \) is its mass, and \( v_x \) is in m/s. The equation indicates that the square of the car's velocity increases linearly with time.

### Part A

**Question:** What is the car's speed at \( t = 13 \, \text{s} \)?

Express your answer using two significant figures.

**Input box:**

- **v =** [_______] **m/s**

[Submit Button]  
[Request Answer Link]

### Part B

**Question:** What is the car's speed at \( t = 19 \, \text{s} \)?

Express your answer using two significant figures.

**Input box:**

- **v =** [_______] **m/s**

[Submit Button]  
[Request Answer Link]
Transcribed Image Text:When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 seconds is well modeled by the equation: \[ v_x^2 = \frac{2P}{m} t \] where \( P = 3.6 \times 10^4 \text{W} \) is the car's power output, \( m = 1200 \text{kg} \) is its mass, and \( v_x \) is in m/s. The equation indicates that the square of the car's velocity increases linearly with time. ### Part A **Question:** What is the car's speed at \( t = 13 \, \text{s} \)? Express your answer using two significant figures. **Input box:** - **v =** [_______] **m/s** [Submit Button] [Request Answer Link] ### Part B **Question:** What is the car's speed at \( t = 19 \, \text{s} \)? Express your answer using two significant figures. **Input box:** - **v =** [_______] **m/s** [Submit Button] [Request Answer Link]
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