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A bus traveling at 11.7 m/s slows to a complete stop. The bus travels 35.9 m while braking. How long does it take the bus to stop?

Answer :

Final answer:

The bus takes 3.07 seconds to come to a complete stop.

Explanation:

To find the time it takes for the bus to stop, we can use the formula:

accelearation = (final velocity - initial velocity) / time

Since the bus comes to a complete stop, the final velocity is 0 m/s. The initial velocity is 11.7 m/s. The acceleration can be calculated using the formula:

acceleration = distance / time

Substituting the given values, we have:

acceleration = 35.9 m / time

Equating the two expressions for acceleration and solving for time, we get:

35.9 m / time = (0 m/s - 11.7 m/s) / time

Simplifying the equation, we find:

35.9 m = -11.7 m/s * time

Solving for time, we get:

time = 35.9 m / 11.7 m/s = 3.07 seconds

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