Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives headfirst, hitting the ground at 7.31 m/s and reaching the base at 5.07 m/s, accelerating at -5.12 m/s/s. Determine the distance Rickey slides across the ground before touching the base.
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.
![**Problem**: Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives headfirst, hitting the ground at 7.31 m/s and reaching the base at 5.07 m/s, accelerating at -5.12 m/s². Determine the distance Rickey slides across the ground before touching the base.
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To solve the problem, we need to use the equation of motion that relates initial velocity (v_i), final velocity (v_f), acceleration (a), and distance (d):
\[ v_f^2 = v_i^2 + 2a d \]
Given:
- Initial velocity (v_i) = 7.31 m/s
- Final velocity (v_f) = 5.07 m/s
- Acceleration (a) = -5.12 m/s²
We need to find the sliding distance (d).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf022540-a668-4a8b-ae5f-79af1e9f84f5%2F8bc2afcd-f4c7-4c5a-bcf0-fa45aa0a4129%2Fgqvsy34_processed.jpeg&w=3840&q=75)
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