Initial Velocity vo: 86.9MS Launch Angle: Initial Horizontal Velocity Vox. Time Passing through the window t₁:_ 4:43 84. Or MAZT Horizontal Position at t₁: 59.7 ; Initial Vertical Velocity Voy:. Time at Target Impact t₂:_ Vertical Position at t₁: Horizontal Position at t₂:43.4; Vertical Position at t₂: 17.11 ~36.79 -92.65
Initial Velocity vo: 86.9MS Launch Angle: Initial Horizontal Velocity Vox. Time Passing through the window t₁:_ 4:43 84. Or MAZT Horizontal Position at t₁: 59.7 ; Initial Vertical Velocity Voy:. Time at Target Impact t₂:_ Vertical Position at t₁: Horizontal Position at t₂:43.4; Vertical Position at t₂: 17.11 ~36.79 -92.65
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Transcribed Image Text:### Projectile Motion Data Analysis
**Initial Velocity \( v_0 \):** 86.9 m/s
**Launch Angle:** 5.7°
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**Or**
**Initial Horizontal Velocity \( v_{0x} \):** (not provided)
**Initial Vertical Velocity \( v_{0y} \):** (not provided)
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**Time Passing through the Window \( t_1 \):** 11.42 seconds
**Time at Target Impact \( t_2 \):** 17.11 seconds
**Horizontal Position at \( t_1 \):** 43.84
**Vertical Position at \( t_1 \):** -36.79
**Horizontal Position at \( t_2 \):** 43.84
**Vertical Position at \( t_2 \):** -92.65
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This information is used to analyze the motion of a projectile, focusing on its trajectory, positions at specific times, and the corresponding time intervals. The data includes key parameters, such as initial velocity and launch angle, which are crucial for calculating the range, maximum height, and time of flight for a projectile.
![**Projectile Motion: Verification Using Kinematic Equations**
In this exercise, we use the kinematic equations of motion for projectile motion to confirm the values obtained in a simulation. These equations are:
\[ x = x_0 + v_{0x}t; \]
\[ y = y_0 + v_{0y}t - \frac{1}{2} gt^2 \]
**Where:**
- \( v_{0x} \) and \( v_{0y} \) are the initial velocity components determined from the simulation.
- \( t_1 \) and \( t_2 \) are the time intervals recorded for the coordinates \((x_1, y_1)\) and \((x_2, y_2)\) that you logged during the simulation.
**Instructions:**
Simply plug the values of \( t_1 \) and \( t_2 \) along with the recorded initial velocity components into the equations. This will help you verify if the equations provide the same values for \( x \) and \( y \) as recorded in your simulation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F939f19e0-6626-477a-ba7a-4282434e880a%2F66b7e859-dd8f-4e30-ac89-f32a1e06a900%2F353jc8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Projectile Motion: Verification Using Kinematic Equations**
In this exercise, we use the kinematic equations of motion for projectile motion to confirm the values obtained in a simulation. These equations are:
\[ x = x_0 + v_{0x}t; \]
\[ y = y_0 + v_{0y}t - \frac{1}{2} gt^2 \]
**Where:**
- \( v_{0x} \) and \( v_{0y} \) are the initial velocity components determined from the simulation.
- \( t_1 \) and \( t_2 \) are the time intervals recorded for the coordinates \((x_1, y_1)\) and \((x_2, y_2)\) that you logged during the simulation.
**Instructions:**
Simply plug the values of \( t_1 \) and \( t_2 \) along with the recorded initial velocity components into the equations. This will help you verify if the equations provide the same values for \( x \) and \( y \) as recorded in your simulation.
Expert Solution
Introduction:
Motion which are perpendicular to one another remains unaffected by each other. Their attributes do not change motion perpendicular to them. In case of projectile motion, we break the motion into horizontal and vertical components. We then study these components independently.
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