Kinematic Equations for Uniformly Accelerated Motion: The kinematic equations for uniformly accelerated motion describe the relationships between an object’s displacement, velocity, acceleration, and time, assuming that the acceleration is constant. These equations can be used to solve problems involving uniform acceleration, such as calculating an object’s final velocity or displacement.

Kinematic Equations for Uniformly Accelerated Motion

The four kinematic equations for uniformly accelerated motion are:

• v = u + at This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and time (t).
• s = ut + 1/2 at² This equation relates the displacement (s) of an object to its initial velocity (u), acceleration (a), and time (t).
• v² = u² + 2as This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and displacement (s).
• s = (u + v)t/2 This equation relates the displacement (s) of an object to its initial velocity (u), final velocity (v), and time (t).

where:

• u = initial velocity
• v = final velocity
• a = acceleration
• s = displacement
• t = time

Note that these equations assume that the acceleration is constant, and that the object is moving in a straight line. They can be used to solve problems involving uniform acceleration, such as calculating the distance traveled by a car accelerating from rest, or finding the final velocity of an object after falling for a certain amount of time.

Follow on Facebook

By Team Learning Mantras