The velocity graph you provided shows the motion of an object over time. The velocity is measured in meters per second (m/s) and the time is measured in seconds (s).
a. Describe the motion of the object.
The object starts at rest (velocity of 0 m/s) and accelerates at a constant rate of 5 m/s^2 for the first 6 seconds.
This means that the object's velocity is increasing by 5 m/s every second. After 6 seconds, the object reaches a maximum velocity of 30 m/s.
The object then maintains this constant velocity for the next 4 seconds.
Finally, the object decelerates at a constant rate of 5 m/s^2 for the last 4 seconds, coming to a complete stop at the 14-second mark.
b. Draw a blue velocity vector field.
A velocity vector field is a graphical representation of the velocity of an object at every point in space.
The direction of the vector indicates the direction of motion of the object, and the magnitude of the vector indicates the speed of the object.
c. Draw a red acceleration vector field.
An acceleration vector field is a graphical representation of the acceleration of an object at every point in space.
The direction of the vector indicates the direction of the acceleration, and the magnitude of the vector indicates the magnitude of the acceleration.
d. Draw a motion map, a position-time graph, and an acceleration-time graph representing the motion of the object.
A motion map is a graphical representation of the motion of an object over time.
The x-axis of the motion map represents time, and the y-axis represents the object's position.
A position-time graph is a graphical representation of the object's position over time.
The x-axis of the position-time graph represents time, and the y-axis represents the object's position.