Look at the three figures showing coordinate axes in the pdf file you attached. The x-value is time in all three. The y value is acceleration, velocity and position. Have you been taught how to draw graphs?banderson9 said:
not yet we are given material before we are taught, to test knowledge so i am really confusedkuruman said:
Welcome, @banderson9 !banderson9 said:
The position graph shows the location of an object over time. The velocity graph represents the rate of change of the position, i.e., how fast the position is changing. The acceleration graph shows the rate of change of velocity, i.e., how quickly the velocity is changing. In essence, velocity is the derivative of position, and acceleration is the derivative of velocity.
The slope of a position-time graph represents velocity. A steeper slope indicates a higher velocity. A positive slope means the object is moving forward, while a negative slope means it is moving backward. A horizontal line (slope of zero) indicates that the object is stationary.
The area under a velocity-time graph represents the displacement of the object. If the graph is above the time axis, the area is positive, indicating forward movement. If the graph is below the time axis, the area is negative, indicating backward movement. The total area gives the net displacement over the time interval.
Acceleration is determined by the slope of the velocity-time graph. A positive slope indicates positive acceleration (speeding up), while a negative slope indicates negative acceleration (slowing down). A horizontal line (slope of zero) indicates constant velocity, meaning no acceleration.
A curved line on a position-time graph indicates that the object is accelerating. If the curve is concave up (like a U), the object is speeding up. If the curve is concave down (like an inverted U), the object is slowing down. The curvature represents a changing velocity, which means there is acceleration.