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simply put the acceleration is the slope of the speed vs time graph
Theory Part
think of it this way. the unit for speed is meters per second or m/s
the unit for acceleration is meters per second per second or m/s2
so essentially if speed is the change in position per change in time, acceleration is the change in speed per change in time.
Practical Part
now for the actual answer. look at the slope of your speed vs time graph at any time. that slope is the acceleration at that time. If you find the slope between two points on your graph, that gives you the average acceleration over that interval of time.
Velocity (speed) is the derivative of position. If you haven't taken calculus yet, derivative is simply slope. To find the speed of your object, pick out two points on your graph and find the slope between them.
To get the concept behind that, think about the units of speed: distance divided by time, like miles/hr. When you calculate slope, you take (distance unit - distance unit) / (time unit - time unit) and finally reach distance unit / time unit.
Acceleration is the derivative of velocity with respect to time.
What that means is, if you have a graph with time on x axis and velocity on the y axis, the slope of the line at a point in time is the acceleration at that same point in time.
if your velocity is a linear function of time (a straight line -- not curvy) you can find the acceleration in this way.
pick a time value, we'll call it t1.
pick another time value, we'll call it t2.
find the velocity associated with t1, we'll call it v1 v1=v(t1)
find the velocity associated with t2, we'll call it v2 v2=v(t2)
acceleration = (v2-v1)/(t2-t1)
and your units will be your units of velocity divided by the units of time. For example, if you're measuring velocity in miles per hour (mph) and time in seconds, your units will be miles/(hours*seconds). If you're using meters per second and seconds, it will be meters/(seconds^2).
Note that velocity is a vector quantity (it has a direction associated with it) and so is acceleration. Having non-zero acceleration means there will be a change in velocity, however, it does NOT NECESSARILY mean there will be a change in SPEED (which is the magnitude of velocity).
the maximum speed is the point on the graph with the greatest slope.
Note that the value this slope is the maximum speed, since the slope at any point on distance time graph is velocity
By measuring the area below the curve as force is directly proportional to acceleration for a fixed mass
We can calculate from the slope by te formula velocity = displacement / time
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How would one determine Acceleration from a V-t Graph?
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
How do you make an acceleration time graph from the data of a velocity time graph?
To create an acceleration-time graph from a velocity-time graph, you need to find the slope of the velocity-time graph at each point. The slope represents the acceleration at that specific instant. Plot these acceleration values against time to get the acceleration-time graph.
Is The slope on a position-time graph is representative of the acceleration of the object?
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
In an acceleration graph showing speed versus time a straight line shows the acceleration is?
A graph that shows speed versus time is not an acceleration graph.The slope of the graph at any point is the acceleration at that time.A straight line shows that the acceleration is constant.
How can you use the graph of velocity versus time to estimate the acceleration of the ball?
The acceleration of the ball can be estimated by calculating the slope of the velocity versus time graph. If the graph is a straight line, the slope represents the acceleration. The steeper the slope, the greater the acceleration. If the graph is curved, the instantaneous acceleration can be estimated by finding the slope of the tangent line at a specific point on the curve.
How do you find acceleration of a speed time graph?
To find acceleration from a speed-time graph, you need to calculate the slope of the speed-time graph. The slope at any point on the speed-time graph represents the acceleration at that specific time. If the speed-time graph is linear, then the acceleration will be constant. If the speed-time graph is curved, you can find the acceleration by calculating the slope of the tangent line at a specific point.
What part of the graph represents uniform positive and negative acceleration Calculate this acceleration.?
The answer depends on whether the graph is that of speed v time or distance v time.
How can you find the retardation of a curve in a speed time graph?
Calculate the gradient of the curve which will give the acceleration. Change the sign of the answer to convert acceleration into retardation.
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
The acceleration can be determined from a velocity vs. time graph by finding the slope of the line at a specific point. The equation used to calculate acceleration from a velocity vs. time graph is given by a = Δv/Δt, where a is the acceleration, Δv is the change in velocity, and Δt is the change in time.
What does acceleration look like as a graph?
The answer depends on what is plotted on the graph and what is happening with the acceleration then.
How do you calculate area under the acceleration time graph?
The mathematical technique used to calculate the area under a graph is integral calculus. This is a complex subject which I am not going to attempt to explain in detail- it normally takes years of study.
What represents acceleration on a graph?
The answer depends on the variables in the graph! In a graph of age against mass there is nothing that represents acceleration.
What is accelerated motion?
►►The rate of change of velocity per unit of time is defined as accleration►2.If we write the definition for acceleration in mathematical terms:Final Velocity - Initial VelocityTime
How would one determine Acceleration from a V-t Graph?
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
How would a graph of negative and positive acceleration differ?
This depends on what the graph represents. If it is a graph of velocity on the vertical and time on the horizontal, then if acceleration is at a constant rate, the graph will be a straight line with positive slope (pointing 'up'). If acceleration stops, then the graph will be a horizontal line (zero acceleration or deceleration). If it is deceleration (negative acceleration), then the graph will have negative slope (pointing down).
How is a graph showing speed different from a graph showing acceleration?
Acceleration is how fast you get up to speed.
How is acceleration represented on a graph?
Acceleration is represented on a graph by the slope of the velocity-time graph. A positive slope indicates acceleration in the positive direction, while a negative slope indicates acceleration in the negative direction. A horizontal line on the graph represents constant velocity, with zero acceleration.
