Hello, I am needing help with the position-time graph on the top right (the one with the negative parabolic shape). A tutor and I came up with the following velocity-time and acceleration-time graphs, but I wanted to double check if these are correct, and some explanation as to why. Thank you! **Educational Website Description: Position, Velocity, and Acceleration Graphs**This image displays a set of graphs used to study motion. The task is to sketch the corresponding velocity and acceleration versus time graphs based on the given position versus time graphs. Below are detailed descriptions of the graphs:### Graph 1 (Left Column)#### Position vs. Time Graph:- **Axes**: - X-Axis: Time (s), ranging from 0 to 10 seconds. - Y-Axis: Position (m), ranging from 0 to 2 meters.- **Graph Description**: - This curve is parabolic, opening upwards, indicating an object decreases and then increases in position, reaching the minimum position at around 5 seconds.#### Velocity vs. Time Graph (Blank):- **Axes**: - X-Axis: Time (s). - Y-Axis: Velocity (m/s).- **Action**: - Sketch the velocity graph based on the slope of the position graph.#### Acceleration vs. Time Graph (Blank):- **Axes**: - X-Axis: Time (s). - Y-Axis: Acceleration (m/s²).- **Action**: - Sketch the acceleration graph based on changes in velocity.### Graph 2 (Right Column)#### Position vs. Time Graph:- **Axes**: - X-Axis: Time (s), ranging from 0 to 15 seconds. - Y-Axis: Position (m), ranging from 0 to 6 meters.- **Graph Description**: - This curve forms an inverted parabola, indicating an object increases to a maximum position around 7.5 seconds and then decreases.#### Velocity vs. Time Graph (Blank):- **Axes**: - X-Axis: Time (s). - Y-Axis: Velocity (m/s).- **Action**: - Sketch the velocity graph using the slope information from the position graph.#### Acceleration vs. Time Graph (Blank):- **Axes**: - X-Axis: Time (s). - Y-Axis: Acceleration (m/s²).- **Action**: - Sketch the acceleration graph based on velocity changes.**Instructions**: Carefully observe the slopes of the position vs. time graphs to deduce the patterns of the corresponding velocity and acceleration graphs. Label ### Velocity-Time Graph**Description:**- **Axes:** - The vertical axis represents velocity in meters per second (m/s). - The horizontal axis represents time in seconds (s).- **Graph Analysis:** - From 0 to 5 seconds, velocity is constant at 1 m/s. - From 5 to 10 seconds, velocity decreases linearly, reaching -1 m/s. - From 10 to 15 seconds, velocity remains constant at -1 m/s.### Acceleration-Time Graph**Description:**- **Axes:** - The vertical axis represents acceleration in meters per second squared (m/s²). - The horizontal axis represents time in seconds (s).- **Graph Analysis:** - From 0 to 5 seconds, acceleration is 0 m/s², indicating no change in velocity. - From 5 to 10 seconds, acceleration is constant at -0.4 m/s², indicating a uniform decrease in velocity. - From 10 to 15 seconds, acceleration returns to 0 m/s², indicating constant velocity. These graphs illustrate the relationship between velocity and acceleration over time, showcasing sections of constant velocity, deceleration, and constant acceleration.

Given : The two position graphs varying with time

Answered: 1. For each of the two position versus…

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1. For each of the two position versus time graphs below, sketch the corresponding velocity and acceleration versus time graphs in the blank axes below each graph. Be sure to label both axes of each graph with the correct scale. 2.0 1.5 1.0 0.5 0.0 15 4 Time (s) 5 Time is) Position in