Uniformly accelerated motion
How do you think the motion in which acceleration is constant will proceed? Constant acceleration means velocity changing at a constant rate, since the rate of change of velocity is acceleration (First Equation of motion).
When we are talking about motion in a straight line with constant acceleration, there are three equations of motion, which are helpful in determining one of the unknown parameters:
v = final velocity of the particle
u = initial velocity of the particle
s = displacement of the particle
a = acceleration of the particle
t = time interval in which the particle is in consideration
Uniformly accelerated motion in a plane:
Projectile motion is one of the most popular examples of motion in a plane with uniform acceleration. In case of a projectile motion, the only acceleration acting on the particle is the acceleration due to gravity (g). In horizontal direction – or the velocity in x – direction will be constant, since there is no acceleration. Therefore, we can apply the equations of motion separately in two directions to get results.
In general, a uniformly accelerated motion is the one in which the acceleration of the particle throughout the motion is uniform. It can be motion in one dimension, two dimensions, or three dimensions.
A general case for a body executing uniformly accelerated motion is explained with the help of projectile motion in the video below.
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