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A car traveling along the +x direction increased its velocity uniformly from 39.4 m/s to 77.5 m/s and covered a distance of 219 meters. How long did it take to cover this distance?

Answer :

Final answer:

The car took approximately 3.75 seconds to cover the given distance.

Explanation:

To determine the time taken by the car to cover the given distance, we can use the formula:

Time = Distance / Average Velocity

Given that the initial velocity (u) is 39.4 m/s, the final velocity (v) is 77.5 m/s, and the distance (d) is 219 m, the average velocity can be calculated as:

Average Velocity = (u + v) / 2

Substituting the values into the formula, we have:

Time = 219 / ((39.4 + 77.5) / 2)

Simplifying the expression, we get:

Time = 219 / 58.45

Therefore, the car took approximately 3.75 seconds to cover the given distance.

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