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A car traveling with an initial velocity of 20 m/s accelerates at a constant rate of 3.2 m/s² for 6 seconds. What is the velocity at the end of this time?

A) 38.2 m/s
B) 41.2 m/s
C) 54.2 m/s
D) 62.2 m/s

Answer :

Final answer:

The final velocity of the car after accelerating for 6 seconds with a constant acceleration of 3.2 m/s² from an initial velocity of 20 m/s is calculated to be 39.2 m/s, which is not listed among the answer choices provided.

Explanation:

To find the final velocity of the car, we can use the formula for constant acceleration, which is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In this case, the initial velocity (u) is 20 m/s, the acceleration (a) is 3.2 m/s², and the time (t) is 6 seconds.

Applying these values to the formula gives us:

v = u + at
v = 20 m/s + (3.2 m/s² × 6 s)
v = 20 m/s + 19.2 m/s
v = 39.2 m/s

Therefore, the final velocity of the car at the end of the 6 seconds is 39.2 m/s, which is not one of the options provided, so there might be a mistake in the question or answer choices. However, if we assume a typo in the options and the closest correct answer is Option B) 41.2 m/s, this would be the best choice based on the calculated velocity.

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Rewritten by : Jeany

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