At the headwaters (in the mountains) the gradient is steep, then as the stream moves into the foothills and onto the plains on its way to the sea where it has its mouth, the gradient gets less and less steep.
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The discharge for a single stream should not change much from the headwater to the mouth. The exceptions to the mouth would be if another stream joined the main stream, which would increase the discharge or if you loose a significant amount of water to infilitration, which would decrease the discharge. The gradient should be high at the headwaters and gradually decrease downstream where it should be low at the mouth. Of course differences in lithologies or secondary streams can change the gradient for a short distance, thought the overall profile should fit the expected model.
13 kilometers
Water erosion, mostly by streams and rivers that have a high gradient and discharge.
The steeper the gradient, the higher the velocity of flow.
In their headwaters, where the gradient is steep, most rivers cut into bedrock. These streams typically transport course particles that actively abrade the bedrock channel.
the Mississippi headwaters is a kind of thing that is located in the Mississippi river. The Headwaters of a river are it's origins. The multiplicity of small streams that converge to form the main body of the river proper.
Stream velocity is dependent of four things. They are, the flow type, the gradient, the channel shape, and the discharge of the stream. Streams will flow faster in narrow channels on steeper grades.
a streams discharge is the excess water from a storm or melted snow.
All the time.
All the time.
Temperature gradient seen nerby.