Which formula represents uniform acceleration?

Which formula represents uniform acceleration?

• A. s = ut + 1/2at^2
• B. s = ut + 1/2at
• C. s = ut^2 + 1/2a
• D. s = uf + 1/2at^2

Answer: (A)

The formula s = ut + 1/2at^2 accurately describes the motion of an object undergoing uniform acceleration. In this equation: - "s" represents the displacement of the object, - "u" is the initial velocity, - "t" is the time, - "a" is the constant acceleration. The term "ut" takes into account the initial velocity of the object over the time interval "t," while the term "1/2at^2" accounts for the additional distance traveled due to the constant acceleration applied over that time. This separation of terms provides a comprehensive representation of how both the initial motion and the changing velocity due to acceleration contribute to the total displacement. In scenarios involving uniform acceleration, whether in the context of objects in free fall, vehicles accelerating on a road, or any system experiencing consistent acceleration, this formula is applicable, making it fundamental for solving problems in mechanics involving linear motion. Other choices either misuse the parameters, such as mixing time or acceleration terms incorrectly, or they do not properly reflect the mechanics of uniform acceleration, thus not suitable for accurately describing this physical phenomenon.

The formula s = ut + 1/2at^2 accurately describes the motion of an object undergoing uniform acceleration. In this equation:

• "s" represents the displacement of the object,

• "u" is the initial velocity,

• "t" is the time,

• "a" is the constant acceleration.

The term "ut" takes into account the initial velocity of the object over the time interval "t," while the term "1/2at^2" accounts for the additional distance traveled due to the constant acceleration applied over that time. This separation of terms provides a comprehensive representation of how both the initial motion and the changing velocity due to acceleration contribute to the total displacement.

In scenarios involving uniform acceleration, whether in the context of objects in free fall, vehicles accelerating on a road, or any system experiencing consistent acceleration, this formula is applicable, making it fundamental for solving problems in mechanics involving linear motion.

Other choices either misuse the parameters, such as mixing time or acceleration terms incorrectly, or they do not properly reflect the mechanics of uniform acceleration, thus not suitable for accurately describing this physical phenomenon.