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If an object is allowed to free-fall under gravity, it will accelerate downwards at 9.8 metres per second per second (m s-2). This is equal to the standard gravity, symbol g, which on the surface of Earth has a value of around 9.8 newtons per kilogram (N kg-1) or 9.8 m s-2. Both units are equivalent.
This is because the acceleration of an object is given by the net force that acts on it (in newtons) divided by its mass (in kilograms). This is Newton's second law:
F = m a
So a = F / m
In the case of a free-falling object, the only force acting on the object is gravity, and the magnitude of this force is the mass of the object multiplied by standard gravity.
F = m g
So the acceleration a = g, the standard gravity.
On the other hand, consider an object at rest on a horizontal surface. The force of gravity still acts on the object, but it is being counteracted by an upward force provided by the surface, which is equal and opposite to the force of gravity.
An object on a slope is somewhere between these two. Part of the force of gravity is counteracted by an upward force provided by the slope, but the remainder causes the object to accelerate down the slope (assuming the object is round or slippery). In fact we need to resolve the force into its components by using trigonometry.
To answer the question, if the slope is at an angle theta (θ) to the horizontal, then the acceleration is given by:
a = g sin(θ)
If the slope is perfectly horizontal then θ = 0, and sin (0) = 0, so a = 0, and the object does not move.
Actually, on a speed-time graph, the slope represents acceleration. A steeper slope indicates a quicker acceleration or deceleration, while a flat line indicates a constant speed with zero acceleration.
You can find acceleration by calculating the slope of a time vs. velocity graph. Time can be measured in seconds, and velocity in meters per second. The slope, change in y over change in x, would yield the units of m/s2, the units of acceleration.
The graph of velocity vs time.
Not speed vs time. Acceleration is a vector as is velocity, but speed is not. When going round a circular path at constant speed, your velocity is constantly changing (its direction) and you are always accelerating (towards the centre of the circular path).
Yes, you can analyse acceleration with a graph of speed vs. time. Or for a more sophisticated analysis, you could use differential calculus.
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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.
The slope of a speed vs time graph is equal to what?
Acceleration.
What does the slope in a speed time graph mean?
The slope of a speed-time graph represents the acceleration of an object. A steeper positive slope indicates faster acceleration, while a negative slope indicates deceleration. A horizontal line indicates a constant speed with zero acceleration.
What does the slope of the instantaneous speed-vs-time graph represented?
The slope of the instantaneous speed-vs-time graph represents the acceleration of the object. A positive slope indicates the object is accelerating in the positive direction, while a negative slope indicates acceleration in the negative direction. The steeper the slope, the greater the magnitude of the acceleration.
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.
Does the slope of a speed-versus-time graph represents acceleration?
No, the slope of a speed-versus-time graph represents the rate of change of speed, not acceleration. Acceleration is represented by the slope of a velocity-versus-time graph.
What does the slope of a speed-time graph represent?
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater rate of change in speed, which means higher acceleration. Conversely, a shallower slope indicates lower acceleration.
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 information does the slope of a speed time graph provide?
The slope of a speed-time graph represents the acceleration of the object. A positive slope indicates acceleration in the positive direction, a negative slope indicates acceleration in the negative direction, and a zero slope indicates constant speed.
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.
The slope of a speed vs time graph is equal to what?
Acceleration.
On speed-time graph the measures acceleration?
On speed-time graph can measure acceleration by getting the slope.
What is the slope of a line on distance time graph?
acceleration
How is speed and acceleration represented on a graph?
Speed is represented by the slope of a distance-time graph, where steeper slopes indicate faster speed. Acceleration is represented by the slope of a speed-time graph, where a steeper slope indicates a greater acceleration.
Does the slope of the line on a speed time graph tells the speed?
No. The slope on a speed vs time graph tells the acceleration.
What does slope of speed time graph indicates?
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater acceleration, while a horizontal line represents constant speed.
Is acceleration the slope of a line on a distance time graph?
No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.
