A car moving at 43 km/h skids 16 m with locked brakes.

How far will the car skid with locked brakes at 129 km/h?

Well, at 43 km/h, the car skids 16 m. So at 129 km/h, my guess is the car will skid... straight to the moon! Just kidding, that would be quite a skid! In reality, I'm afraid I can't calculate exact numbers, but I can safely say that the car would skid significantly farther at 129 km/h compared to 43 km/h. Please exercise caution while driving and remember that locked brakes are not a skid recipe for success!

To find out how far the car will skid with locked brakes at 129 km/h, we can set up a proportion using the ratios of speed and skid distance.

Let's assign variables:
x = skid distance at 129 km/h

Using the given information, we can set up the proportion:

43 km/h / 16 m = 129 km/h / x

Now, let's solve for x by cross-multiplication:

43 km/h * x = 16 m * 129 km/h

Rearranging the equation, we have:

x = (16 m * 129 km/h) / 43 km/h

Simplifying the equation:

x = (16 m * 129) / 43
x = 48 m

Therefore, the car will skid approximately 48 meters with locked brakes at 129 km/h.

To find the distance the car will skid with the locked brakes at 129 km/h, we can use the concept of the relationship between speed and braking distance.

The relationship between speed and braking distance is generally represented by an equation called the braking distance equation. The equation is as follows:

Braking Distance = (Speed^2) / (2 * Deceleration)

In this case, we already have the speed (129 km/h) and braking distance (16 m) for another situation. We can rearrange the equation and solve for the deceleration:

Deceleration = (Speed^2) / (2 * Braking Distance)

First, let's convert the given speed from km/h to m/s to ensure consistency in units:

Speed = 129 km/h * (1000 m/1 km) * (1 h/3600 s)
Speed = 35.83 m/s (approximately)

Now, we can substitute the values into the equation to find the deceleration:

Deceleration = (35.83^2) / (2 * 16)
Deceleration = 644.05 m^2/s^2 (approximately)

Now that we know the deceleration, we can use it to find the new braking distance for the car at the higher speed:

Braking Distance = (Speed^2) / (2 * Deceleration)
Braking Distance = (129^2) / (2 * 644.05)
Braking Distance = 32.25 m (approximately)

Therefore, the car will skid approximately 32.25 meters with locked brakes at 129 km/h.