Time of Flight (ms)=?Height Hitting Wall (m)=? ---### Motion Analysis Task#### Problem Statement:- **Gravitational Acceleration**: The gravitational acceleration of this planet is \( 6.4 \, \text{m/s}^2 \).#### Tasks to Perform:1. **Calculate Initial Speeds**: - Find the horizontal and vertical speeds of the ball at the moment of the kick.2. **Measure Displacement**: - Measure the horizontal displacement of the ball.3. **Determine Time of Flight**: - Calculate the time of flight for the ball.4. **Determine Height**: - Determine the height of the ball when it hits the wall.#### Instructions:- When you are ready to test your answers, hit the 'Enter Answers' Button.---This analysis involves calculating various parameters of a ball in motion under the influence of gravity. You will use principles from kinematics to determine these values. Ensure to apply appropriate equations of motion for the assessments. ### Projectile Motion Analysis**Initial Conditions:**- The initial velocity (\(v_0\)) of the projectile is 31.4 m/s.- The launch angle (\(\theta\)) with respect to the horizontal is 48.4°.**Graph and Measurements:**The main graph provides a grid for analyzing the trajectory of the projectile motion using horizontal distance (x-axis) and vertical height (y-axis):- **Horizontal distance:** Measured in meters (m) along the top edge of the grid, with marked intervals every 10 meters up to 40 meters.- **Vertical height:** Measured in meters (m) along the right side of the grid with marked intervals every 10 meters up to 30 meters.- **Background Grid:** - Each small square on the grid represents 1 meter by 1 meter. - Intervals are highlighted with a thicker line every 10 meters.### Diagram Explanation:- **Inset Diagram (Bottom Left):** - This inset diagram depicts the initial launch conditions: - The projectile is shown at the ground level at its initial firing point. - An arrow indicates the initial velocity vector (\(v_0\)) of 31.4 m/s. - The launch angle \(\theta\) of 48.4° is marked from the horizontal starting point (ground level).### Further Educational Analysis:1. **Projectile Motion Path:** - Use the provided grid to plot the actual parabolic path taken by the projectile. - Students can use the kinematic equations for projectile motion to calculate various points on this path.2. **Kinematic Equations:** - **Horizontal Motion:** \[ x = v_0 \cos(\theta) \cdot t \] - **Vertical Motion:** \[ y = v_0 \sin(\theta) \cdot t - \frac{1}{2} g t^2 \] where \( g \) is the acceleration due to gravity (approximately 9.8 m/s²).3. **Max Height and Range:** - Students can compute the maximum height reached and the total horizontal range of the projectile using: \[ \text{Max Height} = \frac{{(v_0 \sin(\theta))^2}}{2g} \] \[ \text

Name: Time of Flight (ms)=?Height Hitting Wall (m)=? ---### Motion Analysis
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Time of Flight (ms)=?Height Hitting Wall (m)=? ---### Motion Analysis Task#### Problem Statement:- **Gravitational Acceleration**: The gravitational acceleration of this planet is \( 6.4 \, \text{m/s}^2 \).#### Tasks to Perform:1. **Calculate Initial