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What are the differences between the free-fall equations and the 1-D kinematics equations?

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Final answer:

The free-fall equations specifically apply to objects in free fall, while the 1-D kinematics equations are more general and can be used to analyze motion in one-dimensional situations with constant acceleration.

Step-by-step explanation:

The free-fall equations and the 1-D kinematics equations are both used to analyze the motion of objects, but there are some key differences between them.

The free-fall equations specifically apply to objects in free fall, which is the motion of an object falling in a gravitational field, such as near the surface of Earth. These equations describe how the values of position, velocity, and acceleration change during free fall. The main free-fall equation is:

y = y0 + v0t + 0.5gt2

where y is the position, y0 is the initial position, v0 is the initial velocity, t is the time, and g is the acceleration due to gravity.

The 1-D kinematics equations are more general and can be used to analyze the motion of objects in one-dimensional situations with constant acceleration. These equations describe how the values of position, velocity, and acceleration change over time. The main 1-D kinematics equations are:

  • v = v0 + at
  • y = y0 + v0t + 0.5at2
  • v2 = v02 + 2a(y - y0)

where v is the velocity, a is the acceleration, and all other variables have the same meaning as in the free-fall equations.

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