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I'm assuming you are not talking about constant acceleration, which in itself iscontinuous. If you are talking about constant (meaning it's just a number, and not a function itself) acceleration, than just use the formula:

v = i + at, where

v = velocity, i = initial velocity, a = acceleration, and t = time


Otherwise, you need to have some calculus knowledge. A velocity function is just the antiderivative (integral) of an acceleration function.


Say, acceleration was given as:
a = 2t
take the integral of that
v =∫ 2t dt = (2/2)t2+c =

t

2+c

In this case, the c is the initial velocity.



Example:
An object moves with an acceleration determined by a=t+3 (in m/s^2). Find the velocity of the object after 10 seconds have passed, given that the object has an initial velocity of 2 m/s.

a = t + 3
v =∫( t + 3) dt = (1/2)t2 + 3t + c, with c being initial velocity
v(10 seconds) = (1/2)(10)2 + 3(10) + (2) = 82 m/s

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11y ago
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15y ago

If you have constant acceleration, then you can't have constant velocity. (Unless the acceleration is constantly zero.)

Final velocity = [initial velocity] + [ (acceleration) x (time) ]

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11y ago

If acceleration is positive then velocity goes on increasing by equal amount in equal intervals of time, however small the interval may be

If the same acceleration is negative then velocity goes on decreasing as described above

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AnswerBot

5mo ago

If a car is moving with constant acceleration, its velocity is changing at a constant rate. The velocity will increase or decrease uniformly over time depending on the direction of acceleration.

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15y ago

V= v0 + kt where k is the constant acceleration and v0 is the initial velocity.

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Q: What is the velocity of car if it is moving with constant acceleration?
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Continue Learning about Physics

Can object have zero acceleration and nonzero velocity at the same time.give example?

Yes, an object moving at a constant velocity has zero acceleration even though it has a non-zero velocity. For example, a car driving at a steady speed on a straight highway has a constant velocity but zero acceleration.


A car is moving at a constant speed is it accelerating?

This is one of those theoretical situations, like the frictionless surface you will see in physics problems. The short answer is that no, a car travelling at a constant speed is not accelerating. Acceleration is a change in velocity over time. Velocity is speed, so if you have zero change in velocity over a period of time, you have acceleration of zero. In the real world, you will have other factors acting on the vehicle, which would affect the acceleration.


If a car moves at constant speed also moving at constant velocity give an example?

An example of a car moving at constant speed and constant velocity would be a car driving along a straight road with no change in direction, where the speedometer shows a steady reading, and there are no changes in velocity or direction of motion. This means the car is moving at a consistent speed in a straight line without any acceleration or deceleration.


What is the acceleration of a car that maintains a constant velocity of 100km hr for 1 hour?

The acceleration of the car is 0 m/s^2, since it is maintaining a constant velocity. Acceleration is the rate of change of velocity, and since the velocity is constant, there is no change in velocity and thus no acceleration in this case.


What are examples for zero acceleration?

An object at rest, such as a stationary car, has zero acceleration. Similarly, a car moving at a constant speed on a straight road with no change in velocity also experiences zero acceleration.

Related questions

Why is it that their is an acceleration when a car is moving?

There is only acceleration if the car's velocity changes. If it moves at a constant velocity, then there is no acceleration.


Can a car moving at a constant velocity have acceleration at the same time?

No. Definitely not


Can object have zero acceleration and nonzero velocity at the same time.give example?

Yes, an object moving at a constant velocity has zero acceleration even though it has a non-zero velocity. For example, a car driving at a steady speed on a straight highway has a constant velocity but zero acceleration.


A car is moving at a constant speed is it accelerating?

This is one of those theoretical situations, like the frictionless surface you will see in physics problems. The short answer is that no, a car travelling at a constant speed is not accelerating. Acceleration is a change in velocity over time. Velocity is speed, so if you have zero change in velocity over a period of time, you have acceleration of zero. In the real world, you will have other factors acting on the vehicle, which would affect the acceleration.


If a car moves at constant speed also moving at constant velocity give an example?

An example of a car moving at constant speed and constant velocity would be a car driving along a straight road with no change in direction, where the speedometer shows a steady reading, and there are no changes in velocity or direction of motion. This means the car is moving at a consistent speed in a straight line without any acceleration or deceleration.


Does the speed of a car moving in a circular path at 15 mph remain constant Or does the acceleration or its velocity remains constant?

The magnitude of the velocity will be constant however the direction will be constantly changing. The acceleration will remain constant towards the centre of the circle


What will be acceleration of a car moving in a circular motion with constant speed.?

If body is moving in a circle with uniform or constant speed its acceleration will be uniform as velocity i.e. to say direction is changing at every point.


What is the acceleration of a car that maintains a constant velocity of 100km hr for 1 hour?

The acceleration of the car is 0 m/s^2, since it is maintaining a constant velocity. Acceleration is the rate of change of velocity, and since the velocity is constant, there is no change in velocity and thus no acceleration in this case.


Is it possible for a car moving with a constant velocity to have forces acting on it?

No,because if the car is moving at a constant velocity that means the acceleration is zero. So the net force is zero and there may be some forces acting on it. Only gravity, downward.


What acceleration of a car accelerate even thought your speed don't change?

If the car is moving at a constant speed but is changing direction, it is accelerating. Acceleration is change in velocity, and velocity includes magnitude (speed) and direction.


What are examples for zero acceleration?

An object at rest, such as a stationary car, has zero acceleration. Similarly, a car moving at a constant speed on a straight road with no change in velocity also experiences zero acceleration.


What is the acceleration of a car that is going at a steady speed of 60 mph?

The acceleration of a car moving at a steady speed of 60 mph is zero. Acceleration is the rate of change of velocity, and if the car is maintaining a constant speed, then there is no change in velocity, hence no acceleration.