The speed of sound
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The slope of a wavelength vs period graph represents the speed of the wave. A steeper slope indicates a higher speed, while a gentler slope indicates a slower speed.
Yes, a position-time graph can tell you the direction of the displacement of an object. If the slope of the graph is positive, the object is moving in the positive direction. If the slope is negative, the object is moving in the negative direction.
When velocity is changing, the slope of the position versus time graph represents the velocity at that particular moment. The slope becomes steeper when velocity is increasing and shallower when velocity is decreasing. A horizontal line indicates zero velocity.
The distance versus time graph shows the position of the object. The slope of the line shows the velocity of the object. The velocity is the direction and speed of an object. If your slope has a positive slant that means you are going in a positive direction. If the slope has a negative slant your object is going in a negative direction. If your slope is zero (a horizontal line) that means your object has stopped and is about to change directions. In case you didnt know a positive slant looks like this on a graph.... / a negative slant looks like this on a graph.... \ postive is like sloping up a hill negative is like falling down the hill
The position-time graph for a person walking away from a starting point at a constant speed would be a straight line with a positive slope indicating a constant increase in position over time.
When two objects have the same velocity on a position graph, their position vs. time graphs will have parallel lines with the same slope. This indicates that both objects are covering the same distance in the same amount of time, resulting in the same velocity.