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 +
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30341bd5-9df6-4a1f-8fda-916b6928e177%2F92da5937-195e-45bb-a72a-cc2b12f1b031%2Flrj9fc9_processed.jpeg&w=3840&q=75)

Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images









