Car travelling speed 30 km/h stops after 8m distance through brakes.If same car moves at 60km/h. what is the stopping distance

d = 60^2/30^2 * 8 = 4 * 8 = 32 m

To determine the stopping distance of a car moving at 60 km/h, we need to determine the relationship between the car's initial speed, distance traveled, and the stopping distance at 30 km/h.

We know that the car's initial speed is 30 km/h, and it stops after traveling 8 meters. Let's calculate the stopping distance at 30 km/h using this information.

First, we need to convert the initial speed from km/h to m/s since the stopping distance will be calculated in meters. To convert km/h to m/s, we use the following formula:

m/s = (km/h) * (1000 m/1 km) * (1 h/3600 s)

Converting 30 km/h to m/s:

30 km/h * (1000 m/1 km) * (1 h/3600 s) = 8.33 m/s (rounded to two decimal places)

Now, we use the formula for stopping distance:

Stopping distance = (initial speed ^ 2) / (2 * deceleration)

Since the initial speed is 8.33 m/s and the stopping distance is 8 meters, we can rearrange the formula to solve for deceleration:

deceleration = (initial speed ^ 2) / (2 * stopping distance)

deceleration = (8.33 m/s) ^ 2 / (2 * 8 m) = 6.94 m/s^2 (rounded to two decimal places)

Now that we have the deceleration, we can calculate the stopping distance at 60 km/h using the same formula:

Stopping distance = (initial speed ^ 2) / (2 * deceleration)

Converting 60 km/h to m/s:

60 km/h * (1000 m/1 km) * (1 h/3600 s) = 16.67 m/s (rounded to two decimal places)

Stopping distance at 60 km/h:

Stopping distance = (16.67 m/s) ^ 2 / (2 * 6.94 m/s^2) ≈ 42.55 meters (rounded to two decimal places)

Therefore, the stopping distance of the car when it is traveling at 60 km/h is approximately 42.55 meters.