Motion in One Dimension

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Physics Newtonian Mechanics Motion in One Dimension

	One-dimensional kinematics:
	If the motion of an object takes place along either of the three axes then it is called one dimensional motion. During this kind of motion the object can have displacement, velocity and acceleration. Velocity: The average velocity (v) of an object moving through a displacement (Δx) in a straight line during a time interval (Δt) is given as the displacement over time interval: If the time interval is very smalled then we can define the instantaneous velocity of the object. The instantaneous velocity vector (v) of an object that has positions x(t) at time t and x(t+Δt) at time t+Δt, can be computed as the rate of change of displacement: Acceleration: When the object in one-dimensional motion moves in such manner that its velocity goes on changing for each interval of time. In that case, if the velocity goes on increasing then the object is said to be accelerated and the corresponding acceleration is called average acceleration, which is defined as the change in velocity in unit interval of time: When the time interval is infinitesimally small the acceleration is called instantaneous acceleration and is given by, It is worth noting that the units of velocity and acceleration are m/s and m/s² respectively. As stated earlier the slope of velocity ~ time graph gives the acceleration of the object.