A car accelerates uniformly from rest and reaches a speed of 60 m/s in 10 seconds. What is the acceleration of the car in meters per second squared?
["Title: Understanding Uniform Acceleration: A Car Reaching 60 m/s in 10 Seconds", "When studying motion, one of the most fundamental concepts in physics is uniformly accelerated motion. A classic example occurs when a car starts from rest and accelerates smoothly to a steady speed—this is ideal for learning key formulas in kinematics. In this article, we’ll break down a real-world scenario to determine the car’s acceleration and explain how to apply basic physics principles to solve similar problems.", "---", "### The Problem in Detail", "Imagine a car that begins moving from rest (initial speed = 0 m/s) and speeds up uniformly until it reaches a final speed of 60 meters per second (m/s) in just 10 seconds. We want to find the acceleration of the car during this time.", "In physics, acceleration is defined as the rate of change of velocity over time. Since the acceleration is uniform, this is a case of constant acceleration, and we can use a simple formula from kinematics:", "[\na = \frac{v_f - v_i}{t}\n]", "Where:\n- ( a ) = acceleration in m/s²\n- ( v_f ) = final velocity = 60 m/s\n- ( v_i ) = initial velocity = 0 m/s (starts from rest)\n- ( t ) = time elapsed = 10 seconds", "---", "### Step-by-Step Calculation", "1. Identify known values:\n ( v_i = 0 , \ ext{m/s} )\n ( v_f = 60 , \ ext{m/s} )\n ( t = 10 , \ ext{s} )", "2. Plug into the formula:\n [\n a = \frac{60 , \ ext{m/s} - 0 , \ ext{m/s}}{10 , \ ext{s}} = \frac{60}{10} = 6 , \ ext{m/s}^2\n ]", "---", "### Conclusion: The Acceleration Is 6 m/s²", "Therefore, the car accelerates at a constant rate of 6 meters per second squared. This means every second, the car’s speed increases by 6 m/s. After 1 second, it reaches 6 m/s; after 2 seconds, 12 m/s; and so on, until it hits 60 m/s after 10 seconds.", "Understanding such problems is crucial not only for physics exams but also for everyday applications—from car safety analysis to engineering design. Remember, even in uniform motion, consistent mathematical principles allow us to predict and analyze real-world behavior accurately.", "---", "Key Takeaways:\n- Uniform acceleration implies constant speed change.\n- The formula ( a = \frac{\Delta v}{t} ) is simple yet powerful.\n- A starting speed of 0 simplifies the calculation.\n- With a final speed of 60 m/s in 10 seconds, acceleration = 6 m/s².", "Whether you’re a student, a physics enthusiast, or someone curious about motion dynamics, knowing how to compute acceleration helps decode how vehicles move—and keeps you smarter behind the wheel or in the classroom.", "---", "Related Topics:\n- Uniform motion versus accelerated motion\n- Kinematic equations in physics\n- How acceleration affects vehicle safety systems", "---", "Keywords for SEO: car acceleration, uniformly accelerated motion, kinematics formula, how to calculate acceleration, physics problems, car speed acceleration, 60 m/s in 10 seconds, physics derivation, constant acceleration calculation, m/s to acceleration."]
