Multiple-Concept Example 9 reviews the concepts that are important in this problem. A drag racer, starting from rest, speeds up for 424 m with an acceleration of +21.9 m/s2. A parachute then opens, slowing the car down with an acceleration of -5.11 m/s². How fast is the racer moving 316 m after the parachute opens? Number i Units +

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Chapter1: Units, Trigonometry. And Vectors
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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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### Physics Problem: Multiple-Concept Example

**Problem Statement:**
Multiple-Concept Example 9 reviews the concepts that are important in this problem. A drag racer, starting from rest, speeds up for 424 m with an acceleration of +21.9 m/s². A parachute then opens, slowing the car down with an acceleration of -5.11 m/s². How fast is the racer moving 316 m after the parachute opens?

---

**Input Fields:**
- **Number:** [   ] (Input box for numerical value)
- **Units:** [   ] (Dropdown menu for unit selection)

---

**Explanation:**
This problem involves understanding and applying concepts of kinematics, specifically the use of constant acceleration equations. The scenario describes a two-phase motion:
1. Acceleration from rest to a specified distance.
2. Deceleration after the parachute opens, over another specified distance.

We can use the following kinematic equations to solve the problem:
1. \(v_f^2 = v_i^2 + 2a d\) for both phases of the motion.

**Phase 1 (Acceleration):**
- Initial velocity (\(v_i\)) = 0 m/s (starting from rest)
- Distance (\(d\)) = 424 m
- Acceleration (\(a\)) = +21.9 m/s²

**Phase 2 (Deceleration):**
- Distance (\(d\)) = 316 m
- Acceleration (\(a\)) = -5.11 m/s²

By calculating the final velocity at the end of phase 1 and using it as the initial velocity for phase 2, you can find the speed of the racer 316 m after the parachute opens.
Transcribed Image Text:### Physics Problem: Multiple-Concept Example **Problem Statement:** Multiple-Concept Example 9 reviews the concepts that are important in this problem. A drag racer, starting from rest, speeds up for 424 m with an acceleration of +21.9 m/s². A parachute then opens, slowing the car down with an acceleration of -5.11 m/s². How fast is the racer moving 316 m after the parachute opens? --- **Input Fields:** - **Number:** [ ] (Input box for numerical value) - **Units:** [ ] (Dropdown menu for unit selection) --- **Explanation:** This problem involves understanding and applying concepts of kinematics, specifically the use of constant acceleration equations. The scenario describes a two-phase motion: 1. Acceleration from rest to a specified distance. 2. Deceleration after the parachute opens, over another specified distance. We can use the following kinematic equations to solve the problem: 1. \(v_f^2 = v_i^2 + 2a d\) for both phases of the motion. **Phase 1 (Acceleration):** - Initial velocity (\(v_i\)) = 0 m/s (starting from rest) - Distance (\(d\)) = 424 m - Acceleration (\(a\)) = +21.9 m/s² **Phase 2 (Deceleration):** - Distance (\(d\)) = 316 m - Acceleration (\(a\)) = -5.11 m/s² By calculating the final velocity at the end of phase 1 and using it as the initial velocity for phase 2, you can find the speed of the racer 316 m after the parachute opens.
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