To follow the instructions precisely, I will structure the response for a sample math problem. Let's consider a straightforward physics problem that involves motion.

Problem Statement:

A car accelerates uniformly from rest and reaches a velocity of 20 m/s in 10 seconds. Determine the acceleration of the car and the distance it covers in that time.

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Given Part:

• Initial velocity ($u$) = 0 m/s (since the car starts from rest)
• Final velocity ($v$) = 20 m/s
• Time ($t$) = 10 seconds

To Find Part:

• Acceleration ($a$) of the car.
• Distance ($s$) covered by the car in the given time.

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Formulas Used:

1. $v = u + at$ (First equation of motion for acceleration)
2. $s = ut + \frac{1}{2} a t^2$ (Second equation of motion for distance)

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Concept Used:

The problem involves the concept of uniformly accelerated motion. The equations of motion describe the relationship between velocity, acceleration, time, and displacement when an object accelerates at a constant rate. Since the car starts from rest, initial velocity $u = 0$. The given information enables the calculation of acceleration using the first equation of motion, and once the acceleration is determined, the distance covered can be calculated using the second equation of motion.

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Complete Calculation:

1. Finding Acceleration:

• The first equation of motion is $v = u + at$.
• Substituting the known values: [