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Q: What is the mathematical link between velocity and acceleration?

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An object moving with uniform acceleration has a uniform change in velocity over time, and its velocity-time graph will be a straight line with either a positive or negative slope. An object moving with no acceleration has constant velocity, and its velocity-time graph will be a straight, horizontal line with zero slope. Refer to the related link for illustrations.

Velocity diagrams are drawn perpendicular to the link ....whereas acceleration diagrams are drawn by knowing the values 2 components radial or centripetal component and tangential component.......the radial component moves parallel to the link and perpendicular to the velocity diagram.....but the tangential component moves perpendicular to the link and parallel to the velocity diagram .

Velocity is the rate of change of position; acceleration is the rate of change of velocity; jerk is the rate of change of accelerationSee related link below for information on "Jerk"

I'm not quite sure what you're asking, but.....An object that is accelerating simply means that that object's velocity is changing. It can be increasing (positive accel.) or decreasing (negative accel.). If the acceleration is zero, that means the velocity is constant.(Keep in mind that these are all vector quantities, so they will have directions as well as magnitudes, and the positive/negative may be reversed.)

If the acceleration is constant.... The formula for velocity is v = v₀ + at For distance it is d = d₀ + v₀t + ½at² For velocity without time it is. v² = v₀² + 2ad For more details refer to the related link in the Related Links section below. The subject is called kinematics

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You are supposed to divide the change in velocity, by the time. In this case, the change of velocity is zero. Divide that by any time, and you get zero.Answer 2The acceleration is zeroIf the speed and direction of an object is constant, then the acceleration is zero m/s2The acceleration is defined as the velocity change per time ratio.Accelerating means increasing speed. The only way one can accelerate and travel at a constant speed is when he is changing his direction, that is, moving in a circle. This is because acceleration is the rate of change of velocity. Velocity means speed with a direction. So if the speed is kept constant, the direction has to change for acceleration.Refer to link below for more information and for more examples.

Acceleration never depends on the instantaneous velocity.Acceleration is the rate at which velocity is changing, and the direction of the change.A car leaving a STOP sign at a neighborhood intersection, and the Space Shuttle in theprocess of a delicate orbital maneuver to link up with the International Space Station,could very well have the same acceleration.

You can do the following. Make a diagram to illustrate the initial velocity at a certain position, and the velocity after a short time, delta-t. Calculate the change of velocity (delta-v) during that time. Divide delta-v by delta-x to get the acceleration. Finally, calculate the limit as delta-t tends toward zero - that is, figure out what happens when delta-t gets smaller and smaller.

1. Gravity is acceleration. 2. speed is a scalar quantity. 3 . velocity is a vector quantity. In other words, gravity is the force which accelerates matter towards the centre of a mass. Speed is how fast something is moving in general. Velocity is speed in one direction. I suppose a link could be using the suvat equations with velocity and acceleration. But vector and scalar quantities don't mix very well.

You can find the displacement of an object given a velocity-time graph, not an acceleration-time graph. The area under the shaded regions between the line and the time-axis represent the displacement during the stated time interval. Refer to the related link for an illustration.

Yes. Free fall can be graphed on a position-time graph and a velocity-time graph. Refer to the related link below for examples.

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