A ferry makes a short run between two docks; one in Lincoln Harbor, New Jersey, the other on W 34th street, NY. As the ferry approached W 34th street (travelling in positive x direction) its speed is 7.4m/s a) If the ferry slows to a stop in 12.3 seconds, what is its average acceleration? b) As the ferry returns to the Lincoln Harbor, its speed is 7.3m/s. If it comes to rest in 13.1 seconds, what is its average acceleration?
A ferry makes a short run between two docks; one in Lincoln Harbor, New Jersey, the other on W 34th street, NY. As the ferry approached W 34th street (travelling in positive x direction) its speed is 7.4m/s a) If the ferry slows to a stop in 12.3 seconds, what is its average acceleration? b) As the ferry returns to the Lincoln Harbor, its speed is 7.3m/s. If it comes to rest in 13.1 seconds, what is its average acceleration?
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Chapter1: Units, Trigonometry. And Vectors
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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.
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Question
![**Physics: Understanding Velocity and Acceleration**
In this lesson, we will explore the concept of velocity and acceleration through a practical example involving a ferry navigating between docks.
### Key Equations
1. **Average Velocity:**
\[
v = \frac{d}{t}
\]
2. **Change in Velocity:**
\[
v = \frac{v_f - v_i}{\Delta t}
\]
3. **Final Velocity in Terms of Initial Velocity and Acceleration:**
\[
v_f = v_o + at
\]
4. **Displacement Calculation:**
\[
d = d_f - d_i
\]
### Example Problem
3) **Scenario:**
A ferry makes a short run between two docks; one in Lincoln Harbor, New Jersey, and the other on W 34th Street, NY. As the ferry approached W 34th Street (traveling in the positive x direction), its speed is 7.4 m/s.
**Questions:**
a) If the ferry slows to a stop in 12.3 seconds, what is its average acceleration?
b) As the ferry returns to Lincoln Harbor, its speed is 7.3 m/s. If it comes to rest in 13.1 seconds, what is its average acceleration?
**Hint:** Please note that for (a) the ship is traveling in the positive x-direction, and for (b) the ship is traveling in the positive or negative x-direction.
### Solution Approach
To solve these questions, use the equations provided and consider the direction of travel for each part of the problem. Pay attention to the units and signs associated with velocity and acceleration, especially since the ferry changes direction.
This example illustrates how to apply kinematic equations to real-world scenarios, enhancing your understanding of motion dynamics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84ddc8be-a643-45f1-929d-52679633221d%2Fa1db7dbd-d8b1-4e87-b603-119534c36cc4%2Fzn62ng_processed.png&w=3840&q=75)
Transcribed Image Text:**Physics: Understanding Velocity and Acceleration**
In this lesson, we will explore the concept of velocity and acceleration through a practical example involving a ferry navigating between docks.
### Key Equations
1. **Average Velocity:**
\[
v = \frac{d}{t}
\]
2. **Change in Velocity:**
\[
v = \frac{v_f - v_i}{\Delta t}
\]
3. **Final Velocity in Terms of Initial Velocity and Acceleration:**
\[
v_f = v_o + at
\]
4. **Displacement Calculation:**
\[
d = d_f - d_i
\]
### Example Problem
3) **Scenario:**
A ferry makes a short run between two docks; one in Lincoln Harbor, New Jersey, and the other on W 34th Street, NY. As the ferry approached W 34th Street (traveling in the positive x direction), its speed is 7.4 m/s.
**Questions:**
a) If the ferry slows to a stop in 12.3 seconds, what is its average acceleration?
b) As the ferry returns to Lincoln Harbor, its speed is 7.3 m/s. If it comes to rest in 13.1 seconds, what is its average acceleration?
**Hint:** Please note that for (a) the ship is traveling in the positive x-direction, and for (b) the ship is traveling in the positive or negative x-direction.
### Solution Approach
To solve these questions, use the equations provided and consider the direction of travel for each part of the problem. Pay attention to the units and signs associated with velocity and acceleration, especially since the ferry changes direction.
This example illustrates how to apply kinematic equations to real-world scenarios, enhancing your understanding of motion dynamics.
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