Title: Analyzing Data on Car Acceleration for Distance Calculation

Question:

How can we utilize the data provided regarding a car accelerating uniformly to calculate the distance traveled by the car?

Answer:

By exploring the given data on car acceleration from rest to a speed of 35 m/s in 10 seconds, we can determine the distance the car covers during this time. Let's delve into the analysis to understand the process.

When a car accelerates uniformly, it means that its acceleration remains constant during the acceleration phase. This allows us to apply equations of motion to solve for different parameters like acceleration, velocity, time, and distance traveled.

In the provided scenario, the car starts from rest, accelerates to a final speed of 35 m/s, and the time taken for this acceleration is 10 seconds. Using the formula d = 0.5at^2 for calculating distance during uniform acceleration, we need to determine the acceleration of the car first.

Given the final velocity v = 35 m/s and the time t = 10 seconds, we can use the formula a = (v - u) / t to find the acceleration a. Since the car starts from rest, the initial velocity u is 0. Solving this, we get an acceleration of 3.5 m/s^2.

Substituting the found acceleration value into the distance formula, we calculate the distance covered by the car during this time as 175 meters. Therefore, the car travels a distance of 175 meters in the given 10-second acceleration period.

Understanding and applying uniform acceleration concepts and equations help in analyzing and solving problems related to motion and distance calculations accurately.