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What does the slope of the tangent to the curve on a velocity-time graph measure?
Wiki User
∙ 11y ago
it measures the magnitude of acceleration, but it can't tell you the direction of the acceleration.
Wiki User
∙ 11y ago
The slope of the tangent to the curve on a velocity-time graph represents the acceleration of an object. Positive slope indicates acceleration in the positive direction, negative slope indicates acceleration in the negative direction, and zero slope indicates constant velocity.
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What does the slope of a tangent to the curve of a velocity-time graph measure?
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
How is the instantaneous speed obtained from a speed - time graph?
The instantaneous speed at a specific point on a speed-time graph is the slope of the tangent to the curve at that point. It represents the speed of an object at that exact moment in time. This can be determined by calculating the gradient at that particular point.
How can you obtain the average velocity and instantaneous velocity from a displacement - time graph?
To obtain average velocity from a displacement-time graph, divide the total displacement by the total time taken. For instantaneous velocity, find the slope of the tangent to the curve at a specific point on the graph. This tangent represents the velocity at that instant.
How can you obtain the average velocity and instantaneous velocity from a displacement time graph?
To obtain the average velocity from a displacement-time graph, you can calculate the slope of the line connecting two points on the graph. Divide the change in displacement by the change in time. To obtain the instantaneous velocity, you need to find the slope of the tangent line at a specific point on the graph. Choose a point on the graph and draw a line tangent to the curve at that point. The slope of this tangent line will give you the instantaneous velocity at that specific point.
On a speed time graph what measures acceleration?
Acceleration on a speed-time graph is represented by the slope of the line. A steeper slope indicates a greater acceleration. If the slope is positive, it indicates acceleration; if it is negative, it indicates deceleration.
How do you find the slope of a graph if it is a curve?
You find the slope of the tangent to the curve at the point of interest.
What does the slope of a tangent to the curve of a velocity-time graph measure?
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?
No, average velocity is the total displacement divided by the total time taken. The slope of the tangent to the curve on a velocity-time graph at a specific instant of time gives the instantaneous velocity at that moment, not the average velocity.
What is a tangent line?
Tangent line is a graph. This graph is to gather data.
What does a tangent to a velocity-time graph measure?
A tangent to a velocity-time graph represents the instantaneous acceleration of an object at that specific moment in time. It shows how the velocity is changing at that particular point.
How do you get the tangent line without the graph?
The answer will depend on the context. If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
How do you determine a slope from a graph?
Slope = (vertical change)/(horizontal change), commonly referred to as rise/run. If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal. If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.
How do you find instantaneous velocity from position time graph?
To find instantaneous velocity from a position-time graph, you calculate the slope of the tangent line at a specific point on the graph. The slope represents the rate of change of position at that instant, which is equivalent to the velocity at that particular moment.
How is a distance- time graph different than a speed time graph?
The variable plotted along the vertical axis is the distance in the first case, speed in the second. The gradient of (the tangent to) the distance-time graph is the speed while the area under the curve of the speed-time graph is the distance.
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
How to calculate the gradient from the non linear graph?
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
What is an acceleration graph?
From v = u - (a*t)then:a = (v-u) / tSelect a point on a time(x) - velocity(y) graph, calculate the slope of a tangent to the line at this point , this is the rate of acceleration at that point.On a data driven curve approximation is used.On a mathematical curve differential calculus can be used.
