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a race car slows down to make a turn. If it has an initial velocity of 180 km/h [S] and accelerates at a rate of 8.2 m/s squared [N] for 3.2 s at what velocity (in kilometers per hour) does it accelerate

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facundo3141592

The final velocity of the race car is 85.535 km/h

At what velocity does the car accelerate?

The initial velocity of the car is 180km/h.

The acceleration of the car is -8.2m/s²

Then the velocity equation is:

v(t) = 180km/h + (8.2m/s²)*t

We know that the car accelerates for 3.2 seconds, then:

v(3.2s) = 180km/h - (8.2m/s²)*(3.2s)

           = 180km/h - 26.24 m/s

Now we need to change the signs of the second term so we have this in km/h.

We know that:

1km = 1000m

1 h = 3600s

Then:

26.24 m/s = 26.24*(3600/1000) km/h = 94.465 km/h

Then the final velocity of the car is:

V(3.2s) = 180km/h - 94.465 km/h = 85.535 km/h

If you want to learn more about acceleration:

https://brainly.com/question/605631

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