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A car is traveling at 16 m/s when the brakes are applied. The brakes decelerate the car at a rate of 5.0 m/s². How long will it take to stop the car?

Answer :

Final answer:

Using the formula t = v/a where v is the initial velocity and a is the deceleration, it takes the car 3.2 seconds to stop.

Explanation:

The question involves calculating the time it will take for a car to stop when brakes are applied. Given that the car is traveling at an initial velocity of 16 m/s and the brakes provide deceleration (negative acceleration) of 5.0 m/s², we use the formula t = v/a, where t is the time, v is the velocity, and a is the acceleration (deceleration in this case).

To find the stopping time, we set the final velocity to 0 m/s (since the car comes to a stop) and rearrange the formula to solve for time (t):

t = v/a = 16 m/s / 5.0 m/s² = 3.2 s.

Therefore, it will take the car 3.2 seconds to come to a complete stop once the brakes are applied.

Learn more about Stopping Time here:

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