A body moving with uniform acceleration has a velocity of...

A body moving with uniform acceleration has a velocity of $12.0 \mathrm{~cm} / \mathrm{s}$ in the positive $x$ direction when its $x$ coordinate is $8.00 \mathrm{~cm}$. If its $x$ coordinate $2.00 \mathrm{~s}$ later is $-5.00$ $\mathrm{cm}$, what is the magnitude of its acceleration?

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Key Concepts

Uniform Acceleration

Uniform acceleration refers to a constant acceleration where an object's velocity changes linearly with time. This allows the use of kinematic equations, which relate displacement, velocity, acceleration, and time in a predictable manner.

Kinematic Equations

Kinematic equations are mathematical formulas that describe the motion of objects under constant acceleration. These equations connect displacement, initial velocity, time, and acceleration, enabling the calculation of any one variable when the others are known.

Displacement

Displacement is the difference between the final position and the initial position of an object. In the context of uniform acceleration, displacement is used along with time and velocity in kinematic equations to determine unknown motion parameters.

Solving for Acceleration

When the positions and velocities at specific times are known, the kinematic equations can be rearranged to isolate and solve for the acceleration. This process involves substituting known values into the equations and solving the resulting equations algebraically.

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