A car accelerates uniformly from rest to a speed of 30 m/s in 10 seconds. What is the acceleration of the car?
["Understanding Uniform Acceleration: A Car Speeding Up to 30 m/s in 10 Seconds", "When a car accelerates uniformly from rest to a final speed, calculating its acceleration reveals key insights into motion in physics. Consider the real-world example of a car that starts perfectly still and reaches a speed of 30 meters per second (m/s) in just 10 seconds. How do we determine the car’s acceleration?", "Acceleration, defined as the rate of change of velocity over time, is especially straightforward in uniform acceleration scenarios. Since the car begins from rest (initial velocity = 0 m/s) and reaches a final velocity of 30 m/s in 10 seconds, we use the fundamental formula:", "[\na = \frac{v_f - v_i}{t}\n]", "Where:\n- (a) = acceleration (m/s²)\n- (v_f) = final velocity = 30 m/s\n- (v_i) = initial velocity = 0 m/s\n- (t) = time = 10 s", "Plugging in the values:", "[\na = \frac{30,\ ext{m/s} - 0,\ ext{m/s}}{10,\ ext{s}} = \frac{30}{10} = 3,\ ext{m/s}^2\n]", "Therefore, the car’s acceleration is 3 meters per second squared (3 m/s²). This means the car’s speed increases by 3 m/s every second throughout the 10-second interval.", "Understanding acceleration helps drivers, engineers, and students interpret vehicle performance and motion dynamics. In this case, a steady acceleration of 3 m/s² indicates responsive and controlled movement—ideal for safe and efficient driving.", "So next time you ride in a smoothly accelerating vehicle, remember: a acceleration of 3 m/s² means it speeds up steadily, transforming stillness into motion in just seconds. Always compute acceleration to unlock deeper understanding of how vehicles move!", "Keywords: car acceleration, uniform acceleration, kinematics, physics formula, acceleration calculation, speed increase, motion physics, 30 m/s acceleration, time to reach speed, vehicle performance.", "---", "By grasping such basic principles, we appreciate not only the numbers, but also the real-life mechanics behind fast and efficient driving."]
