A car accelerates from rest at 3 m/s². How far does it travel in 4 seconds?
["How Far Does a Car Travel When Accelerating from Rest at 3 m/s² in 4 Seconds?", "Understanding motion is fundamental to physics, and one common scenario students and car enthusiasts explore is a vehicle accelerating from rest. Let’s break down the physics behind a car accelerating at 3 meters per second squared and answer the question: How far does it travel in 4 seconds?", "### Understanding Acceleration from Rest", "When a car starts from rest, its initial velocity is zero (u = 0 m/s). Acceleration (a) is the rate of change of velocity over time. With a constant acceleration of 3 m/s², the car increases its speed every second.", "### The Physics Formula: Distance Traveled Under Constant Acceleration", "The distance (s) traveled by an object starting from rest under constant acceleration can be calculated using the kinematic equation:", "[\ns = ut + \frac{1}{2} a t^2\n]", "Where:\n- ( s ) = distance traveled (in meters)\n- ( u ) = initial velocity = 0 m/s\n- ( a ) = acceleration = 3 m/s²\n- ( t ) = time = 4 seconds", "### Plugging in the Values", "Since u = 0, the formula simplifies to:", "[\ns = \frac{1}{2} \ imes 3 , \ ext{m/s}^2 \ imes (4 , \ ext{s})^2\n]", "[\ns = \frac{1}{2} \ imes 3 \ imes 16 = \frac{48}{2} = 24 , \ ext{meters}\n]", "### Conclusion", "A car accelerating from rest at 3 m/s² travels exactly 24 meters in 4 seconds. This calculation demonstrates how constant acceleration leads to increasing velocity and how distances grow quadratically with time under such conditions.", "Whether for solving physics homework, understanding real-world driving dynamics, or engineering calculations, knowing how far a vehicle travels during acceleration is essential.", "---", "Keywords: car acceleration, acceleration from rest, kinematics formula, distance traveled under acceleration, physics of motion, 3 m/s², 4 seconds acceleration distance, how far does a car go in 4 seconds with 3 m/s² acceleration.", "Meta Description:\nFind how far a car accelerates from rest at 3 m/s² travels in 4 seconds. Learn the physics formula and step-by-step calculation that yields 24 meters."]
