Learn How to Calculate One Dimensional (1-D) Motion with Constant Acceleration - Tutorial

How to Calculate One Dimensional (1-D) Motion with Constant Acceleration - Definition, Formula and Example

Definition:

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.

Formula:
x(t) = 1/2(at2) + v0t + x0
Where,

x(t) = Position at time t a = 9.8 m/s2 (Gravity of Earth) v0 = Velocity at time t=0 x0 = Position at time t=0 t = Time

Example:

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?

Given,

Velocity at time t=0 (v0) = 5 m Position at time t=0 (x0) = 10 m Time (t) = 10 s

To find,

One Dimensional Motion with Constant Acceleration

Formula:

x(t) = 1/2(at2) + v0t + x0 = 1/2(9.8 * 102) + 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.


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