Constant acceleration means any accelerating object will adjust its velocity in every second. If a motion occurs in a straight line then it is termed as one dimensional motion. If an object travels in a constant speed without any change in its speed or direction is known as 1-D constant acceleration motion.

x(t) = Position at time t
a = 9.8 m/s^{2} (Gravity of Earth)
v_{0} = Velocity at time t=0
x_{0} = Position at time t=0
t = Time

Consider that the velocity of a moving bus as 5 meters and its current position as 10 meters. What will be its acceleration after 10 seconds?

Velocity at time t=0 (v_{0}) = 5 m
Position at time t=0 (x_{0}) = 10 m
Time (t) = 10 s

One Dimensional Motion with Constant Acceleration

x(t) = 1/2(at^{2}) + v_{0}t + x_{0}
= 1/2(9.8 * 10^{2}) + 5 * 10 + 10
= 1/2(9.8 * 100) + 60
= 1/2(980) + 60
= 490 + 60
x(t) = 550
Therefore, the position at time t, x(t) = 505 meters.