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What physical property does the slope of a velocity time graph represent?
velocity.
What does the slope of the curve on a velocity time graph represent?
The rate of Change in acceleration.
What is the relationship between slope of a tangent line and velocity?
The slope of any line is rise/run, or change in y divided by change in x. On a distance-time curve, time is the variable on the x axis, and distance is the variable on the y axis. This means that when a tangent is drawn at any point on the curve, its slope becomes change in distance divided by change in time, for example, m/s, km/h, etc. These units align with the units for velocity, and therefore the slope of the tangent line on a distance-time curve is the velocity.
What does the slope of jessicas function represents?
The slope of Jessica's function represents the rate of change of the dependent variable with respect to the independent variable. In practical terms, it indicates how much the output value increases or decreases for each unit increase in the input value. A positive slope suggests a direct relationship, while a negative slope indicates an inverse relationship. The exact meaning can vary depending on the context of the function being analyzed.
What is instantaneous slope?
The instantaneous slope of a curve is the slope of that curve at a single point. In calculus, this is called the derivative. It also might be called the line tangent to the curve at a point. If you imagine an arbitrary curve (just any curve) with two points on it (point P and point Q), the slope between P and Q is the slope of the line connecting those two points. This is called a secant line. If you keep P where it is and slide Q closer and closer to P along the curve, the secant line will change slope as it gets smaller and smaller. When Q gets extremely close to P (so that there is an infinitesimal space between P and Q), then the slope of the secant line approximates the slope at P. When we take the limit of that tiny distance as it approaches zero (meaning we make the space disappear) we get the slope of the curve at P. This is the instantaneous slope or the derivative of the curve at P. Mathematically, we say that the slope at P = limh→0 [f(x+h) - f(x)]÷h = df/dx, where h is the distance between P and Q, f(x) is the position of P, f(x+h) is the position of Q, and df/dx is the derivative of the curve with respect to x. The formula above is a specific case where the derivative is in terms of x and we're dealing with two dimensions. In physics, the instantaneous slope (derivative) of a position function is velocity, the derivative of velocity is acceleration, and the derivative of acceleration is jerk.
When the discharge of a stream increases what happens to the streams velocity?
When a stream's discharge increases, erosive energy increases.
How does the slope of the stream affected erosion and deposition?
A steeper slope in a stream increases the velocity of the water, leading to increased erosion of sediment and rocks. This results in greater transportation of material downstream. Conversely, a gentler slope decreases the velocity of the water, causing less erosion and more deposition of sediment.
Does a stream's velocity increase or decrease downstream?
A stream's velocity typically increases downstream due to the accumulation of water volume and slope gradient. This leads to higher flow rates and faster-moving water.
What factors determine velocity of stream?
Speed and direction determine velocity
What happens after a stream discharge increases?
After a stream's discharge increases, it overflows its banks and a flood occurs.
What factor determine the velocity of stream?
measure out ten feet of water, drop a rubber ducky, or some other floating object in the water. and then time it with a stopwatch ti see how long it takes to reach there. Then divide your data by ten to get the data in feet covered per second.
How does slope affect velocity of stream?
A steeper slope typically leads to a faster flow velocity in a stream. This is because gravity plays a larger role in pulling the water downhill, increasing the speed of the water flow. Conversely, a gentler slope results in a slower velocity as the force of gravity is not as strong.
Creating artificial cutoffs increases stream velocity?
True
Does the carrying capacity increase as a stream's slope and discharge increases?
true
How did changing the slope of the incline change your velocity and acceleration value?
changing the slope of the inclined plane changes the values for velocity because of the unbalanced external force exerted on the object increases the velocity.
Stream gradient role on stream velocity?
Stream gradient, or the slope of the stream channel, affects stream velocity by influencing the speed at which water flows downstream. A steeper stream gradient typically results in a faster water flow velocity, as the force of gravity pulls water downhill more strongly. Conversely, a gentler stream gradient leads to slower water flow velocity.
Why one stream could be flowing faster than the other stream?
The velocity of the water in a stream increases when the stream gets narrower or shallower (or both).
