What is the velocity of car if it is moving with constant acceleration?

Answer 1

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

Answer 2

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) ]

Answer 3

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

Answer 4

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

Answer 5

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.