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
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.
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.
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.
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.
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.
There is only acceleration if the car's velocity changes. If it moves at a constant velocity, then there is no acceleration.
No. Definitely not
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.
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.
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.
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
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.
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.
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.
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.
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.
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.