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
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) ]
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
V= v0 + kt where k is the constant acceleration and v0 is the initial velocity.
It's not possible. Acceleration is defined as a change in velocity, so if the speed is constant, the acceleration is zero. If the acceleration is zero, so is the net force.
A car moving at constant speed in a straight line is also moving at constant velocity.
Yes, for example, a car moving at constant speed.
Any object which is at rest has zero velocity, for example a rock on the road. car parked at lane, a motor which is not moving or stop. a man sleeping. home office statue of liberty. anything that is at rest has zero velocity.
An object moving at constant speed in a circle. Acceleration is rate of change of velocity, as velocity is speed in a certain direction, when moving in a circle an object's velocity is constantly changing, as its velocity is changing it is accelerating.
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
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.
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.
It's not possible. Acceleration is defined as a change in velocity, so if the speed is constant, the acceleration is zero. If the acceleration is zero, so is the net force.
A car moving at constant speed in a straight line is also moving at constant velocity.
Yes, for example, a car moving at constant speed.
Any object which is at rest has zero velocity, for example a rock on the road. car parked at lane, a motor which is not moving or stop. a man sleeping. home office statue of liberty. anything that is at rest has zero velocity.
Acceleration is the time rate of change of velocity. If velocity is constant, then acceleration is zero. Note: "100 km per h for 10 seconds" is a constant speed, but not necessarily a constant velocity, since we're told nothing about the direction. If the car moves in a perfectly straight line during those 10 seconds, then its velocity is constant. If it makes a curve, then its velocity is not constant even though its speed is, and there is acceleration.
if the velocity is constant, the acceleration is zero. The acceleration is the rate at which the velocity changes, so if it stays the same, the car isn't accelerating.