Acceleration and Distance Travelled by a Car
How much greater is the distance traveled in the entire 15 seconds compared to the distance covered in the first second by a car that starts from rest and accelerates uniformly?
The distance the car covers over the entire 15 seconds is 225 times greater than the distance it covers in the first second when starting from rest and accelerating uniformly.
Answer:
The distance traveled by a car that starts from rest and accelerates uniformly can be analyzed using the equations of motion. Understanding the relationship between time, acceleration, and distance traveled is essential in determining the factor by which the distance in the entire 15 seconds exceeds the distance covered in the first second.
When reflecting on the scenario of a car accelerating from rest, it is intriguing to observe the dynamic interplay between velocity, time, and distance. The concept of uniform acceleration allows us to explore how the car's motion changes over the course of 15 seconds, compared to its initial movement in the first second.
The equation of motion, specifically Distance (d) = (1/2) * acceleration (a) * time (t)², serves as a fundamental tool in analyzing the journey of the car. By applying this equation to calculate the distance covered in the first second (d1) and the entire 15 seconds (d15), we can unveil the factor by which the latter exceeds the former.
In the realm of physics, such computations not only provide numerical values but also offer a deeper insight into the relationship between acceleration and distance. The factor of 225 signifies the substantial growth in distance traveled by the car over the 15-second interval, highlighting the impact of acceleration on its motion.
Exploring scenarios like these allows us to appreciate the intricate mechanics of motion and acceleration, shedding light on the fascinating dynamics at play when a car transitions from a state of rest to uniform motion. Through such analyses, we gain a greater understanding of the principles governing the movement of objects in the physical world.